On Møller's tetrad theory of gravitation. Gravitational radiation

1985 ◽  
Vol 17 (1) ◽  
pp. 39-53 ◽  
Author(s):  
D. Sáez
Keyword(s):  
Gravitational Radiation ◽  
Theory Of Gravitation ◽  
Tetrad Theory

scholarly journals REISSNER–NORDSTRÖM SOLUTIONS AND ENERGY IN TELEPARALLEL THEORY

2006 ◽  
Vol 21 (29) ◽  
pp. 2241-2250 ◽  
Author(s):  
GAMAL G. L. NASHED
Keyword(s):  
Spherically Symmetric ◽  
Tetrad Field ◽  
Symmetric Spacetimes ◽  
Time Space ◽  
Teleparallel Theory ◽  
Theory Of Gravitation ◽  
Spherically Symmetric Spacetimes ◽  
Charged Source ◽  
Superpotential Method ◽  
Tetrad Theory

We give three different spherically symmetric spacetimes for the coupled gravitational and electromagnetic fields with charged source in the tetrad theory of gravitation. One of these contains an arbitrary function and generates the others. These spacetimes give the Reissner–Nordström metric black hole. We then calculated the energy associated with these spacetimes using the superpotential method. We find that unless the time-space components of the tetrad field go to zero faster than [Formula: see text] at infinity, one gets different results for the energy.

Gravitational synchrotron radiation in the metric of a new theory of gravitation

1980 ◽  
Vol 58 (11) ◽  
pp. 1595-1598 ◽  
Author(s):  
R. B. Mann ◽  
J. W. Moffat
Keyword(s):  
Black Hole ◽  
Wave Equation ◽  
Synchrotron Radiation ◽  
Gravitational Radiation ◽  
Field Structure ◽  
Astrophysical Object ◽  
Schwarzschild Black Hole ◽  
Null Surface ◽  
Strong Source ◽  
Theory Of Gravitation

The wave equation for a scalar field ψ is solved in the background metric of a new theory of gravity, based on a non-Riemannian field structure with a nonsymmetric Hermitian gμν. In contrast to the solution of the problem in a Schwarzschild background metric, in which only orbits close to r ~ 3M yield significant gravitational radiation, the new metric leads to an effective potential with stable orbits for a substantial range of r. The solution yields ψ = (1 − ℓ4/r4)−1/2ψGR where ℓ is a new integration constant. The null surface r = ℓ determines an astrophysical object called a "deflectar", which for ℓ > 2M conceals the Schwarzschild black-hole event horizon at r = 2M. As r → ℓ the gravitational synchrotron radiation increases to infinity. The actual power output of gravitational radiation for physically allowed stable orbits closest to r = ℓ is estimated, demonstrating that a deflectar is a potentially strong source of gravitational radiation.

Phenomenological approach to the viable nonmetric relativistic scalar 4-vector theory of gravitation

1995 ◽  
Vol 73 (3-4) ◽  
pp. 187-192 ◽  
Author(s):  
Alexander A. Vlasov
Keyword(s):  
Vector Field ◽  
Scalar Field ◽  
Gravitational Radiation ◽  
Phenomenological Approach ◽  
Gravitational Theory ◽  
Nonlinear Scalar Field ◽  
Minkowski Space Time ◽  
Vector Theory ◽  
Theory Of Gravitation ◽  
Relativistic Gravitational Theory

Contrary to the hypothesis that every viable theory of gravitation must be the metric one, this paper presents the example of nonmetric relativistic gravitational theory on the basis of Minkowski space-time, where the gravitation is described by a mixture of the nonlinear scalar field and the linear 4-vector field, compatible with all the known post-Newtonian gravitational tests, with tests on gravitational radiation from binary pulsar PSR 1913 + 16 and with the ordinary cosmological notions.

scholarly journals Energy and Momentum in the Tetrad Theory of Gravitation

1997 ◽  
Vol 98 (6) ◽  
pp. 1355-1370 ◽  
Author(s):  
T. Shirafuji ◽  
G. G. L. Nashed
Keyword(s):  
Theory Of Gravitation ◽  
Energy And Momentum ◽  
Tetrad Theory

scholarly journals Energy-momentum complex in M�ller's tetrad theory of gravitation

1993 ◽  
Vol 32 (9) ◽  
pp. 1627-1642 ◽  
Author(s):  
F. I. Mikhail ◽  
M. I. Wanas ◽  
Ahmed Hindawi ◽  
E. I. Lashin
Keyword(s):  
Theory Of Gravitation ◽  
Momentum Complex ◽  
Tetrad Theory
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