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Topic: Linearized gravity

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specific gravity

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	Report Dynamical meteorology, DM
		On the non-linear behaviour of gravity modes in an equatorial á-plane shallow water-model, with respect to linear and non-linear normal mode initialization.
		The inclusion of non-zero tendencies of the gravity modes in the normal mode procedure.
		Theory and observations of gravity waves in an inversion layer.
	www.misu.su.se /~birgitta/Dmreport.htm (1043 words)

	Einstein's field equation - Wikipedia, the free encyclopedia
		For example, Maxwell's equations of electromagnetism are linear in the electric and magnetic fields (i.e.
		Einstein's equation reduces to Newton's law of gravity by using both the weak-field approximation and the slow-motion approximation.
		Mathematicians usually refer to manifolds with a vanishing Ricci tensor as Ricci-flat manifolds and manifolds with a Ricci tensor proportional to the metric as Einstein manifolds.
	en.wikipedia.org /wiki/Einstein's_field_equation (1086 words)

	Time Travel Portal :: View topic - Traversable Wormholes, Time Machines & Warp Drives (Site not responding. Last check: 2007-10-24)
		Linearized stability analysis of thin-shell wormholes with a cosmological constant by Francisco S.N. Lobo and Paulo Crawford.
		Applying linearized gravity to the weak-field warp drive, i.e., for non-relativistic warp-bubble velocities, we find that the occurrence of energy condition violations in this class of spacetimes is generic to the form of the geometry under consideration and is not simply a side-effect of the ''superluminal'' properties.
		Using the linearized construction it is now possible to compare the warp field energy with the mass-energy of the spaceship, and applying the ''volume integral quantifier'', extremely stringent conditions on the warp drive spacetime are found.
	timetravelportal.com /viewtopic.php?t=989 (2401 words)

	Egwald Mathematics - Optimal Control - Linearized Pendulum (Harmonic Oscillator)
		where Ø(t) is its angular displacement in degrees from the vertical at time t, L is the length of the cord attached to the ball of the pendulum, g is the force of gravity, and u(t) is the control variable (forcing term) at time t.
		The constraints on u(t) indicate that the force applied to the ball of the pendulum cannot exceed its mass in magnitude, i.e.
		The balls acceleration, dx2 / dt, equals the sum of the force of gravity, -x1(t), plus the force of the control variable, u(t).
	www.egwald.com /optimalcontrol/linearpendulum.php (1126 words)

	Luboš Motl's reference frame: Background independence
		In all cases (causal set theory, loop quantum gravity, triangulation models), the speculations are based on the naive picture of space as being composed of infinitely sharp points - like in the classical theory - which are moreover exactly discrete.
		If the allerged gravity wave exists and that the gravity wave from the flyby airplane has indeed be detected, they should be able to fly a couple more airplanes close by, and show that it is repeatable.
		Gravity is simply the geometric effect of spacetime curvature, not a force, and it can NOT be allowed to propagate information from one place to another in any way, shape or form, at speed of light or not.
	motls.blogspot.com /2005/07/background-independence.html (8957 words)

	Energy Citations Database (ECD) - Energy and Energy-Related Bibliographic Citations
		Gravitons from a loop representation of linearized gravity
		Loop quantum gravity is based on a classical formulation of 3+1 gravity in terms of a real SU(2) connection.
		Linearization of this classical formulation about a flat background yields a description of linearized gravity in terms of a real U(1)xU(1)xU(1) connection.
	www.osti.gov /energycitations/product.biblio.jsp?osti_id=20495184 (325 words)

	Physics Help and Math Help - Physics Forums - not surprised about the graviton?
		You start with GR, linearize it, and see that a\ngravitational wave is a coherent state of massless spin 2 particles with\nthe right interactions, and this is what you find in string theory.
		You start with GR, linearize it, and see that a\nandgt; gravitational wave is a coherent state of massless spin 2 particles with\nandgt; the right interactions, and this is what you find in string theory.
		Linearized gravity?\nIn perturbative string theory, GR is obtained in the limit alpha\' goes\nto zero - in other words, at distances much longer than l_{string},\nthe typical length scale associated with strings.
	www.physicsforums.com /printthread.php?t=37127 (3763 words)

	[No title]
		Effects of mean winds and horizonal temperature gradients on solar and lunar semidiurnal tides in the atmosphere.
		Linearized calculations of stationary waves in the atmosphere.
		Sun, D.-Z. and R.S. Lindzen (1994) A PV view of the zonal mean distribution of temperature and wind in the extra-tropical troposphere.
	www-eaps.mit.edu /faculty/lindzen/PublicationsRSL.html (2614 words)

	7 Structure Formation (Site not responding. Last check: 2007-10-24)
		If an inflationary period is present, the initial seeds for the generation of the primordial inhomogeneities that lead to the large scale structure have their source in the quantum fluctuations of the inflaton field, the field which is generally responsible for driving inflation.
		Stochastic gravity provides a sound and natural formalism for the derivation of the cosmological perturbations generated during inflation.
		Stochastic gravity, however, can naturally deal with the fluctuations of the inflaton field even beyond the linear approximation.
	www.univie.ac.at /EMIS/journals/LRG/Articles/lrr-2004-3/articlese7.html (193 words)

	[No title] (Site not responding. Last check: 2007-10-24)
		The primary aim of the book is to present an up-to-date account of a non-perturbative, canonical quantization program for gravity.
		provides an excellent, up-to-date account of his reformulation of general relativity and of the new approaches to canonical quantum gravity that it has suggested.
		It is essential reading not only for anyone who intends to do research on this approach but also for anyone at the level of an advanced graduate student or beyond who is interested in broadening his or her perspectives on the theory of quantum gravity."
	www.worldscibooks.com /physics/1321.txt (245 words)

	rocklyrix.com \| Rock Lyrics \| Gravity Glas \| Gravity Conveyor \| Gravity Oven
		Includes a huge referential glossary of terms found in the book, among many other things.
		Clausewitz and Pynchon: Post-Romantic War in Gravity's Rainbow
		Includes news, band profile, Real Audio, and links.
	www.rocklyrix.com /gravity.htm (67 words)

	Physics Help and Math Help - Physics Forums - View Single Post - graviton and GR
		Loop quantum gravity will not have the graviton as a fundamental particle, but like any theory of quantum gravity, it (if it is viable) should have a limit in which spacetime behaves approximately like a fixed background filled with gravitons.
		The leading terms of a perturbation expansion of GR gives rise to linearized gravity, which upon quantization leads to the graviton.
		Of course, non-renormalizability means that you can play this game only so far, but renormalization group considerations require that the linearized gravity picture approximation to full GR become, upon quantization, a graviton approximation to full QG.
	www.physicsforums.com /showpost.php?p=86585&postcount=2 (238 words)

	Page Title (Site not responding. Last check: 2007-10-24)
		Classical gravity being eliminated, we are left to conclude that quantum gravity somewhere in the brain must be the cause.
		It is Gravity that is vastly altered, not the speed of light.
		In Physics, curvature of the 4 spacetime axes is the cause of Gravity.
	geocities.com /scientific_proof_of_god/Hammond5s1.html (5257 words)

	DISF - Interdisciplinary Encyclopaedia of Religion and Science \| Cosmology
		There is some scientific justification for this — from careful astronomical observations we have some evidence — but not enough evidence — that the laws of atomic physics, for instance, and of electromagnetism and gravity are same in the vicinity of a distant quasar as on earth.
		The first is the assumption of a theory of gravity — almost always Einstein's general relativity, which has Newton's gravitational theory as its classical limit.
		Very different physics — involving quantum gravity, the possible unification of gravity with the three nongravitational physical interactions and the application of these to the very early universe — is needed to describe this crucial initial phase of the universe's history in any way even approaching adequacy.
	www.disf.org /en/Voci/44.asp (8062 words)

	[No title]
		We discuss the limits of validity of the semiclassical theory of gravity in which a classical metric is coupled to the expectation value of the stress tensor.
		The splitting of the linear connection into a metric and an electromagnetic part together with a characteristic length scale in the theory strongly suggest that gravity and electromagnetism have the same geometrical origin.
		This result is used for the dimensional reduction in a theory of multidimensional gravity with curvature squared terms on M^{4} times S. We calculate the potential of scalar fields, emerging from extra components of the metric and torsion, and analyze the role of the torsion for the stability of spontaneous compactification.
	www.eskimo.com /~bilb/freenrgl/gravresc.txt (13479 words)

	3 History of Loop Quantum Gravity, Main Steps
		Loop quantum gravity is based on the formulation of classical general relativity, which goes under the name of ``new variables'', or ``Ashtekar variables'', or ``connectio-dynamics'' (in contrast to Wheeler's ``geometro-dynamics'').
		Using these techniques, they were able to give a mathematically rigorous construction of the state space of the theory, solving long standing problems deriving from the lack of a basis (the insufficient control on the algebraic identities between loop states).
		In my opinion, the most significant result of loop quantum gravity is the discovery that certain geometrical quantities, in particular area and volume, are represented by operators that have discrete eigenvalues.
	relativity.livingreviews.org /Articles/lrr-1998-1/node6.html (1734 words)

	Raman Research Institute Workshop on Loop Quantum Gravity
		He discussed several cosmological issues from the loop quantum gravity perspective; in particular he gave a detailed overview of the meaning of the initial singularity and initial conditions, evolution through classical singularities, large volume behavior and corrections to the classical approach to singularities.
		Samuel discussed a novel proposal to test general relativity by using radio interferometers with intercontinental baselines and measuring the curvature of the wavefront emitted by a distant source.
		Madhavan Varadarajan gave several talks about his last work on quantum linearized gravity and the r-Fock representation, in particular the use of U(1) flux nets in the context of the simple model provided by electromagnetism.
	www.phys.lsu.edu /mog/mog21/node17.html (855 words)

	An error in Jim Hartle's new textbook (Site not responding. Last check: 2007-10-24)
		In fact, this peculiarity of the Linearized Gravity metric is due to the LORENTZ GAUGE coordinate restriction used to simplify the metric.
		Anyway, if you use the "Linearized Gravity" metric, that metric says that the shrinkage is the SAME regardless of the orientation of the ruler....
		For instance, the form of the Linearized Gravity Metric with its (1-2Phi)(dx^2+dy^2+dz^2) term tells us that for ANY potential Phi, the x, y and z dilations MUST always be equal at any point, regardless of the form of the potential.
	www.pych-one.com /new-5491374-4395.html (1034 words)

	ATSUSHI HIGUCHI'S PUBLICATIONS
		"Linearized gravity in de Sitter spacetime as a representation of SO(4,1)", Class Quantum Grav 8, 2005 (1991).
		"Linearized quantum gravity in flat space with toroidal topology", Class Quantum Grav 8, 2023 (1991).
		"Linearized gravity in `closed' universes with continuous symmetries", in "Strings and Symmetries", the Proceedings of the Gursey Memorial Conference I (Springer, Berlin, 1995).
	www-users.york.ac.uk /~ah28/pub.html (1185 words)

	NCB 112.01 - C. Aragone et al: On the spontaneous breakdown... (Site not responding. Last check: 2007-10-24)
		Triadic CS topological gravity can be broken down to Minkowski space while Lorentz-CS theory does not allow this type of process.
		Since LCS gravity cannot be broken through a triadic CS type of term, we now consider the possibility of a harder type of breaking induced by the presence, in flat Minkowski space, of a Fierz-Pauli mass term.
		As usually happens in light-front coordinates the 9 constraints are linear ordinary differential equations in the "space-like" variable v.
	www.sif.it /cimento/tocb/112.01/05/05.html (2445 words)

	[No title] (Site not responding. Last check: 2007-10-24)
		Random initial data lets you see the growth of noise on a short time scale, so you can see immediately whether the code is stable or not.
		Linearized ADM system: Fourier analysis of linear ADM (periodic BCs).
		In a non-linear case, non-prop moes can easily blow up - ADM has 3 constr-violating modes, two of which are non-propagating - BSSN has 4 const-violating modes, all prop at speed o' light - BSSN only requires that one adds mom constr's to the evol eq's for the Gammas in order to get real char.
	www.aei-potsdam.mpg.de /~shawley/Mexico/mexico_notes.txt (1648 words)

	Ka-Km
		The wave is nondispersive and propagates parallel to the shore with the speed of shallow water gravity waves, i.e.
		For vanishing rotation, the decay or growth scale becomes infinite and the Kelvin wave reduces to an ordinary gravity wave propagating parallel to the coast.
		The dynamics of a Kelvin wave are such that it is exactly a linearized shallow water gravity wave in the longshore direction and exactly geostrophic in the cross-shore direction.
	stommel.tamu.edu /~baum/paleo/ocean/node20.html (1684 words)

	s33a in sm04
		AB: We use crustal thickness estimates for POLARIS Southern Ontario stations as constraints in a linearized inversion of gridded Bouguer gravity data for topography of the crust-mantle boundary.
		Our gravity inversion assumes a constant density contrast between crust and mantle, and parameterizes the topography of the crust-mantle boundary as discrete rectangular blocks sitting at a reference depth.
		By assuming that the mass of one block is concentrated at its base, we obtain a linear relationship between the height of the block and the vertical component of gravity measured at the surface.
	www.agu.org /cgi-bin/SFgate/SFgate?&listenv=table&multiple=1&range=1&directget=1&application=sm04&database=/data/epubs/wais/indexes/sm04/sm04&maxhits=200&="S33A" (2877 words)

	Page Title
		Using this fact we are able to determine the relation between Gravity and Psychometry by comparing the two metrics.
		The spacetime metric and the Psychometry metric are shown in Eqns.
		This factor is identified as "God" since it has already been determined that the biological cause of the factor is the brain growth deficit (BGD) as shown in Figure 2 page 1.
	proof-of-god.freewebsitehosting.com /indpage4.html (715 words)

	RS Electrogravitic References: Part 5 of 19
		This is an argument in favour of possibility of existence of selfconsistent wormhole in empty space maintained by vacuum field fluctuations in the wormhole's background.
		Thus, the no-CTC theorems of Tipler and Hawking are enforced in an open (2+1)-dimensional universe by a mechanism different from that which operates in a closed universe.
		I present and discuss a class of solutions of the Wheeler-de Witt equation describing wormholes generated by coupling of gravity to the electromagnetic field for Kantowski-Sachs and Bianchi I spacetimes.
	www.padrak.com /ine/RS_REF5.html (2322 words)

	Alexander Alekseenko, Department Of Mathematics, California State University, Northridge (Site not responding. Last check: 2007-10-24)
		Arnold's idea to look for a specific formulation for the Einstein equation with a good analytic properties and find a numerical scheme which can mimic these properties as close as possible.
		Linearized Hyperbolic formulations for ADM system PostScript, Adobe Acrobat.
		University of Minnesota, Slides from Applied Math and Numerical Analysis seminar on October 24, 2002: Hyperbolic formulations in linearized gravity.
	www.csun.edu /~ama5348/proj.htm (987 words)

	C. F. Van Den Broeck : Semiclassical states of quantum gravity @ Penn State Physics (Site not responding. Last check: 2007-10-24)
		Loop quantum gravity is a mathematically rigorous and by now well-developed approach to the problem of quantizing general relativity.
		Nevertheless, an obvious inroad to finding satisfactory semiclassical states is to study states which have features in common with the coherent states one can construct in a Fock representation.
		Progress has been made by considering a 'polymer picture' of linearized gravity, constructing a kinematical state space based on graphs as in the full theory.
	www.phys.psu.edu /people/display?person_id=355&mode=research&research_description_id=735 (220 words)

	Stirniman's Electrogravitics Reference List
		The ability to generate a negative gravity effect may come as no surprise to experimenters who have worked with Bose-Einstein condensates, superfluids, or superconductor material in which the angular momentum of quantum level particles can become aligned along a "macroscopic" spin axis.
		Claims are that the mass of the dielectric is a factor in the magnitude of the effect as well as the capacitance and the gradient intensity.
		During that time, there was much discussion of gravity and antigravity within the aerospace industry and in the magazine "Aviation Week." Then the Gravity Research Group (GRG) published a detailed summary report of their review of research into "Electrostatic Motion, Dynamic Counterbary, and Barycentric Control" (i.e.
	www.eskimo.com /~bilb/freenrgl/gravres2.html (15587 words)

	Physics 675, Fall 2004
		In the case of gravity, the linearized coordinate transformation is like an electromagnetic gauge transformation with an extra index.
		Gravity probe B will attempt to measure the geodetic precession of 6.6''/y, as well as the Lens-Thirring precession (dragging of inertial frames due to spin of the earth) of 0.04''/y.
		This equation tells us that the second covariant derivative of the separation vector S is linear in S itself, infact given by the action on S of a matrix given by the Riemann tensor twice contracted with the tangent to the geodesic.
	www.physics.umd.edu /grt/taj/675a/notes.html (10113 words)

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