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

Junction conditions in general relativity

1981 ◽  
Vol 13 (1) ◽  
pp. 29-36 ◽  
Author(s):  
W. B. Bonnor ◽  
P. A. Vickers
Keyword(s):  
General Relativity ◽  
Junction Conditions

scholarly journals EXPANSIONFREE FLUID EVOLUTION AND SKRIPKIN MODEL IN f(R) THEORY

2011 ◽  
Vol 20 (11) ◽  
pp. 2239-2252 ◽  
Author(s):  
M. SHARIF ◽  
H. RIZWANA KAUSAR
Keyword(s):  
General Relativity ◽  
The Self ◽  
Spherically Symmetric ◽  
Junction Conditions ◽  
Dynamical Equations ◽  
Constant Energy ◽  
Isotropic Pressure ◽  
Symmetric Star ◽  
Constant Energy Density ◽  
General Influence

We consider the modified f(R) theory of gravity whose higher-order curvature terms are interpreted as a gravitational fluid or dark source. The gravitational collapse of a spherically symmetric star, made up of locally anisotropic viscous fluid, is studied under the general influence of the curvature fluid. Dynamical equations and junction conditions are modified in the context of f(R) dark energy and by taking into account the expansionfree evolution of the self-gravitating fluid. As a particular example, the Skripkin model is investigated which corresponds to isotropic pressure with constant energy density. The results are compared with corresponding results in General Relativity.

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.

scholarly journals Junction conditions and local spacetimes in general relativity

2020 ◽  
Vol 80 (12) ◽  
Author(s):  
Albert Huber
Keyword(s):  
General Relativity ◽  
Physical Properties ◽  
Thin Shell ◽  
Geometric Approach ◽  
Theoretical Framework ◽  
Junction Conditions ◽  
Lorentzian Manifolds ◽  
Geometric Problems ◽  
Local Deformations

AbstractIn the present work, a theoretical framework focussing on local geometric deformations is introduced in order to cope with the problem of how to join spacetimes with different geometries and physical properties. This framework is used to show that two Lorentzian manifolds can be matched by considering local deformations of the associated spacetime metrics. Based on the fact that metrics can be suitably matched in this way, it is shown that the underlying geometric approach allows the characterization of local spacetimes in general relativity. Furthermore, it is shown that said approach not only extends the conventional thin shell formalism, but also allows the treatment of geometric problems that cannot be treated with standard gluing techniques.

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.

Junction conditions and the propagation of isometries in general relativity

1983 ◽  
Vol 28 (12) ◽  
pp. 2987-2994 ◽  
Author(s):  
L. Herrera ◽  
J. Jiménez
Keyword(s):  
General Relativity ◽  
Junction Conditions
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