Localization of the Poincar� group and the tetrad formulation of general relativity

1977 ◽  
Vol 20 (10) ◽  
pp. 1337-1340
Author(s):  
V. N. Tunyak
Keyword(s):  
General Relativity ◽  
Tetrad Formulation

Tetrad Formulation of Junction Conditions in General Relativity

1967 ◽  
Vol 8 (11) ◽  
pp. 2302-2308 ◽  
Author(s):  
Frank B. Estabrook ◽  
Hugo D. Wahlquist
Keyword(s):  
General Relativity ◽  
Junction Conditions ◽  
Tetrad Formulation

scholarly journals The Riemann-Silberstein vector in the Dirac algebra

2018 ◽  
Vol 65 (1) ◽  
pp. 65 ◽  
Author(s):  
Shahen Hacyan
Keyword(s):  
General Relativity ◽  
Electromagnetic Field ◽  
Explicit Form ◽  
Maxwell Equations ◽  
Compact Form ◽  
Algebraic Representation ◽  
Dirac Algebra ◽  
Null Tetrad ◽  
Covariant Derivatives ◽  
Tetrad Formulation

It is shown that the Riemann-Silberstein vector, defined as ${\bf E} + i{\bf B}$, appears naturally in the $SL(2,C)$ algebraic representation of the electromagnetic field. Accordingly, a compact form of the Maxwell equations is obtained in terms of Dirac matrices, in combination with the null-tetrad formulation of general relativity. The formalism is fully covariant; an explicit form of the covariant derivatives is presented in terms of the Fock coefficients.

Energy of a charged particle in Møller's tetrad theory

1967 ◽  
Vol 63 (4) ◽  
pp. 1157-1166 ◽  
Author(s):  
K. B. Shah
Keyword(s):  
General Relativity ◽  
Charged Particle ◽  
Empty Space ◽  
Gravitational Energy ◽  
Electromagnetic Energy ◽  
Exterior Field ◽  
Tetrad Formulation ◽  
Momentum Complex ◽  
Tetrad Theory

AbstractEnergy of the exterior and the interior fields of a particle, charged or otherwise, embedded in an empty space is calculated, using Møller's tetrad formulation of the energy-momentum complex in general relativity. It is found that the exterior field contains positive gravitational energy, and in addition, the electromagnetic energy if the particle is a charged one and that the sum total of the energies of the interior and the exterior fields is equivalent to the Newtonian mass of the particle.

scholarly journals Tetrads and the Gravitational-inertial Field

1974 ◽  
Vol 27 (1) ◽  
pp. 131 ◽  
Author(s):  
GE Marsh
Keyword(s):  
General Relativity ◽  
Gravitational Field ◽  
Flat Space ◽  
Space Time ◽  
Tetrad Formulation

The tetrad formulation of general relativity allows a non-tensorial decomposition of the gravitational field into two components which have been thought to represent the permanent and inertial parts. It is shown here that this division does not hold for arbitrary motions in a flat space-time, and therefore cannot be expected to hold in more general spaces.

scholarly journals ENERGY OF SPHERICALLY SYMMETRIC SPACE–TIMES ON REGULARIZING TELEPARALLELISM

2010 ◽  
Vol 25 (14) ◽  
pp. 2883-2895 ◽  
Author(s):  
GAMAL G. L. NASHED
Keyword(s):  
General Relativity ◽  
Symmetric Space ◽  
Total Energy ◽  
Gravitational Energy ◽  
Spherically Symmetric ◽  
Tetrad Formulation ◽  
Spherically Symmetric Solutions

We calculate the total energy of an exact spherically symmetric solutions, i.e. Schwarzschild and Reissner–Nordström, using the gravitational energy–momentum 3-form within the tetrad formulation of general relativity. We explain how the effect of the inertial makes the total energy unphysical. Therefore, we use the covariant teleparallel approach which makes the energy always physical one. We also show that the inertial has no effect on the calculation of momentum.

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