scholarly journals Regularized expression for the gravitational energy-momentum in teleparallel gravity and the principle of equivalence

2007 ◽  
Vol 39 (3) ◽  
pp. 227-240 ◽  
Author(s):  
J. W. Maluf ◽  
M. V. O. Veiga ◽  
J. F. da Rocha-Neto
Keyword(s):  
Teleparallel Gravity ◽  
Gravitational Energy ◽  
Principle Of Equivalence

scholarly journals THE GRAVITATIONAL ENERGY PROBLEM FOR COSMOLOGICAL MODELS IN TELEPARALLEL GRAVITY

2010 ◽  
Vol 19 (12) ◽  
pp. 1925-1935 ◽  
Author(s):  
S. C. ULHOA ◽  
J. F. DA ROCHA NETO ◽  
J. W. MALUF
Keyword(s):  
Average Energy ◽  
Teleparallel Gravity ◽  
Space Time ◽  
Gravitational Energy ◽  
Cosmological Models ◽  
De Sitter ◽  
Energy Problem ◽  
First Case ◽  
Einstein's Equation ◽  
Average Energy Density

We present a method to calculate the gravitational energy when asymptotic boundary conditions for the space–time are not given. This is the situation for most of the cosmological models. The expression for the gravitational energy is obtained in the context of the teleparallel equivalent of general relativity. We apply our method first to the Schwarzschild–de Sitter solution of Einstein's equation, and then to the Robertson–Walker universe. We show that in the first case our method leads to an average energy density of the vacuum space–time, and in the latter case the energy vanishes in the case of null curvature.

scholarly journals TELEPARALLEL GRAVITATIONAL ENERGY IN THE GAMMA METRIC

2006 ◽  
Vol 15 (05) ◽  
pp. 695-701 ◽  
Author(s):  
MUSTAFA SALTI
Keyword(s):  
General Relativity ◽  
Teleparallel Gravity ◽  
Gravitational Energy ◽  
Coupling Constants ◽  
Dimensionless Coupling ◽  
Weinberg Complex

The Møller energy (due to matter and fields including gravity) distribution of the gamma metric is studied in teleparallel gravity. The result is the same as those obtained in general relativity by Virbhadra in the Weinberg complex and Yang–Radincshi in the Møller definition. Our result is also independent of the three teleparallel dimensionless coupling constants, which means that it is valid not only in the teleparallel equivalent of general relativity, but also in any teleparallel model.

scholarly journals GRAVITATIONAL ENERGY–MOMENTUM DENSITY IN BIANCHI TYPE II SPACE–TIMES

2006 ◽  
Vol 15 (04) ◽  
pp. 459-468 ◽  
Author(s):  
OKTAY AYDOGDU
Keyword(s):  
General Relativity ◽  
Energy Distribution ◽  
Total Energy ◽  
Bianchi Type ◽  
Teleparallel Gravity ◽  
Momentum Density ◽  
Gravitational Energy ◽  
Type Ii ◽  
Rotationally Symmetric ◽  
Total Energy Distribution

In this paper, using Einstein, Landau and Lifshitz's energy–momentum complexes both in general relativity and teleparallel gravity, we calculate the total energy distribution (due to matter and fields, including gravitation) associated with locally rotationally symmetric (LRS) Bianchi type II cosmological models. We show that energy densities in these different gravitation theories are the same, so they agree with each other. We obtain the result that the total energy is zero. This result agrees with previous works of Cooperstock and Israelit, Rosen, Johri et al., Banerjee and Sen, Vargas, Aydogdu and Saltı. Moreover, our result supports the viewpoints of Albrow and Tryon.

scholarly journals On gravitational energy in conformal teleparallel gravity

2017 ◽  
Vol 32 (21) ◽  
pp. 1750113 ◽  
Author(s):  
J. G. da Silva ◽  
S. C. Ulhoa
Keyword(s):  
Total Energy ◽  
Teleparallel Gravity ◽  
Matter Field ◽  
Gravitational Energy ◽  
Field Equations ◽  
Local Conservation ◽  
Frw Model ◽  
The Difference ◽  
Definition Of ◽  
The Universe

The paper deals with the definition of gravitational energy in conformal teleparallel gravity. The total energy is defined by means of the field equations which allow a local conservation law. Then such an expression is analyzed for a homogeneous and isotropic Universe. This model is implemented by the Friedmann–Robertson–Walker (FRW) line element. The energy of the Universe in the absence of matter is identified with the dark energy, however it can be expanded for curved models defining such an energy as the difference between the total energy and the energy of the perfect fluid which is the matter field in the FRW model.

scholarly journals Towards Energy Discretization in Quantum Cosmology

2018 ◽  
Author(s):  
Sergio Ulhoa ◽  
R.G.G. Amorim ◽  
Abraão Capistrano ◽  
Alexandre Fernandes
Keyword(s):  
Energy Density ◽  
Cosmological Model ◽  
Early Universe ◽  
Quantum Cosmology ◽  
Vacuum Solution ◽  
Empty Space ◽  
Teleparallel Gravity ◽  
Gravitational Energy

In this article we presented an application of the quantum cosmological model in teleparallel gravity. Working with a vacuum solution, the gravitational energy density is quantized with the Weyl procedure and we obtain a discrete expression for the gravitational energy. As an immediate consequence the empty space exhibits an expansion for an early universe.

scholarly journals Gravitational Energy-Momentum Density in Teleparallel Gravity

2000 ◽  
Vol 84 (20) ◽  
pp. 4533-4536 ◽  
Author(s):  
V. C. de Andrade ◽  
L. C. T. Guillen ◽  
J. G. Pereira
Keyword(s):  
Teleparallel Gravity ◽  
Momentum Density ◽  
Gravitational Energy
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