scholarly journals The Energy–Momentum Tensor of Gravitational Waves, Wyman Spacetime, and Freely Falling Observers

2018 ◽  
Vol 530 (12) ◽  
pp. 1800320 ◽  
Author(s):  
Jansen B. Formiga
Keyword(s):  
Gravitational Waves ◽  
Energy Momentum Tensor ◽  
Momentum Tensor

scholarly journals DOES A DYNAMICAL SYSTEM LOSE ENERGY BY EMITTING GRAVITATIONAL WAVES?

1999 ◽  
Vol 14 (23) ◽  
pp. 1531-1537 ◽  
Author(s):  
F. I. COOPERSTOCK
Keyword(s):  
Dynamical System ◽  
Gravitational Waves ◽  
Gravity Waves ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Radiation Damping ◽  
Kinetic Term ◽  
Standard Rate ◽  
Gravitational Contribution ◽  
Actual Mass

We note that Eddington's radiation damping calculation of a spinning rod fails to account for the complete mass integral as given by Tolman. The missing stress contributions precisely cancel the standard rate given by the "quadrupole formula". This indicates that while the usual "kinetic" term can properly account for dynamical changes in the source, the actual mass is conserved. Hence gravity waves are not carriers of energy in vacuum. This supports the hypothesis that energy including the gravitational contribution is confined to regions of nonvanishing energy–momentum tensor Tik.

A STUDY OF THE DE BROGLIE GRAVITATIONAL WAVES

2004 ◽  
Vol 13 (05) ◽  
pp. 907-921 ◽  
Author(s):  
ANTONIO FEOLI ◽  
SREERAM VALLURI
Keyword(s):  
Gravitational Waves ◽  
Experimental Test ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Wave Number ◽  
Polarization Tensor ◽  
Speed Of Light ◽  
Geodesic Deviation ◽  
Test Particles ◽  
Transverse And Longitudinal Components

We study some interesting properties of the de Broglie gravitational waves. In particular, we investigate the properties of the polarization and the energy momentum tensor and the geodesic deviation associated with these waves. We observe that the polarization tensor has both transverse and longitudinal components and depends on the wave number. We find a new effect which does not occur in the standard gravitational waves. Our waves are responsible of a longitudinal shift of test particles placed along the direction of propagation. The amplitude of the shift decreases when the velocity of the source becomes closer to the speed of light; so slow massive particles must be used for an experimental test of the theory.

Gravitational waves and the radiative field

2018 ◽  
Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan
Keyword(s):  
General Relativity ◽  
General Solution ◽  
Gravitational Waves ◽  
Radiation Field ◽  
Gravitational Radiation ◽  
Gravitational Force ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Einstein Equations ◽  
Maxwell Theory

This chapter turns to the gravitational radiation produced by a system of massive objects. The discussion is confined to the linear approximation of general relativity, which is compared with the Maxwell theory of electromagnetism. In the first part of the chapter, the properties of gravitational waves, which are the general solution of the linearized vacuum Einstein equations, are studied. Next, it relates these waves to the energy–momentum tensor of the sources creating them. The chapter then turns to the ‘first quadrupole formula’, giving the gravitational radiation field of these sources when their motion is due to forces other than the gravitational force.

scholarly journals PERTURBATIVE ANALYSIS OF GENERALIZED EINSTEIN THEORIES

2000 ◽  
Vol 09 (02) ◽  
pp. 111-125 ◽  
Author(s):  
JÚLIO CÉSAR FABRIS ◽  
RICHARD KERNER ◽  
JOËL TOSSA
Keyword(s):  
Cosmological Model ◽  
Gravitational Waves ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
The Other ◽  
Ordinary Matter ◽  
Density Perturbations ◽  
Standard Cosmological Model ◽  
Analytical Expressions

The hypothesis that the energy–momentum tensor of ordinary matter is not conserved separately, leads to a nonadiabatic expansion and, in many cases, to an Universe older than usual. This may provide a solution for the entropy and age problems of the Standard Cosmological Model. We consider two different theories of this type, and we perform a perturbative analysis, yielding analytical expressions for the evolution of gravitational waves, rotational modes and density perturbations. One of these theories exhibits satisfactory properties at this level, while the other one should be discarded.

scholarly journals Nonconservative Unimodular Gravity: Gravitational Waves

Symmetry ◽  
2022 ◽  
Vol 14 (1) ◽  
pp. 87
Author(s):  
Júlio C. Fabris ◽  
Marcelo H. Alvarenga ◽  
Mahamadou Hamani Daouda ◽  
Hermano Velten
Keyword(s):  
General Relativity ◽  
Gravitational Waves ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Relativity Theory ◽  
General Relativity Theory ◽  
Extra Condition ◽  
Symmetry Properties ◽  
The Standard Model ◽  
The Universe

Unimodular gravity is characterized by an extra condition with respect to general relativity, i.e., the determinant of the metric is constant. This extra condition leads to a more restricted class of invariance by coordinate transformation: The symmetry properties of unimodular gravity are governed by the transverse diffeomorphisms. Nevertheless, if the conservation of the energy–momentum tensor is imposed in unimodular gravity, the general relativity theory is recovered with an additional integration constant which is associated to the cosmological term Λ. However, if the energy–momentum tensor is not conserved separately, a new geometric structure appears with potentially observational signatures. In this text, we consider the evolution of gravitational waves in a nonconservative unimodular gravity, showing how it differs from the usual signatures in the standard model. As our main result, we verify that gravitational waves in the nonconservative version of unimodular gravity are strongly amplified during the evolution of the universe.

CASIMIR EFFECT FOR THE ROBIN SURFACES IN STATIC ROBERTSON–WALKER SPACE–TIME

2011 ◽  
Vol 20 (02) ◽  
pp. 161-168 ◽  
Author(s):  
MOHAMMAD R. SETARE ◽  
M. DEHGHANI
Keyword(s):  
Scalar Field ◽  
Energy Momentum Tensor ◽  
Casimir Effect ◽  
Vacuum Expectation ◽  
Robin Boundary Condition ◽  
Momentum Tensor ◽  
Space Time ◽  
Conformally Invariant ◽  
Time Space ◽  
Robin Boundary

We investigate the energy–momentum tensor for a massless conformally coupled scalar field in the region between two curved surfaces in k = -1 static Robertson–Walker space–time. We assume that the scalar field satisfies the Robin boundary condition on the surfaces. Robertson–Walker space–time space is conformally related to Rindler space; as a result we can obtain vacuum expectation values of the energy–momentum tensor for a conformally invariant field in Robertson–Walker space–time space from the corresponding Rindler counterpart by the conformal transformation.

scholarly journals Cutoff AdS3 versus $$ T\overline{T} $$ CFT2 in the large central charge sector: correlators of energy-momentum tensor

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Yi Li ◽  
Yang Zhou
Keyword(s):  
Field Theory ◽  
Euclidean Plane ◽  
Energy Momentum Tensor ◽  
Central Charge ◽  
Momentum Tensor ◽  
Two Dimensional ◽  
Conformal Field ◽  
Operator Identity ◽  
Pure Gravity ◽  
Charge Sector

Abstract In this article we probe the proposed holographic duality between $$ T\overline{T} $$ T T ¯ deformed two dimensional conformal field theory and the gravity theory of AdS3 with a Dirichlet cutoff by computing correlators of energy-momentum tensor. We focus on the large central charge sector of the $$ T\overline{T} $$ T T ¯ CFT in a Euclidean plane and a sphere, and compute the correlators of energy-momentum tensor using an operator identity promoted from the classical trace relation. The result agrees with a computation of classical pure gravity in Euclidean AdS3 with the corresponding cutoff surface, given a holographic dictionary which identifies gravity parameters with $$ T\overline{T} $$ T T ¯ CFT parameters.

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