An inhomogeneous stiff fluid universe with electromagnetic field in general relativity

1990 ◽  
Vol 163 (2) ◽  
pp. 179-186 ◽  
Author(s):  
Raj Bali ◽  
Atul Tyagi
Keyword(s):  
General Relativity ◽  
Electromagnetic Field ◽  
Stiff Fluid

scholarly journals Plebański–Demiański solution of general relativity and its expressions quadratic and cubic in curvature: Analogies to electromagnetism

2015 ◽  
Vol 24 (10) ◽  
pp. 1550079 ◽  
Author(s):  
Jens Boos
Keyword(s):  
General Relativity ◽  
Electromagnetic Field ◽  
General Type ◽  
Coordinate Systems ◽  
Irreducible Decomposition ◽  
Asymptotically Flat ◽  
Type D ◽  
Curvature Invariants ◽  
Free Parameters ◽  
First Time

Analogies between gravitation and electromagnetism have been known since the 1950s. Here, we examine a fairly general type D solution — the exact seven parameter solution of Plebański–Demiański (PD) — to demonstrate these analogies for a physically meaningful spacetime. The two quadratic curvature invariants B2 - E2 and E⋅B are evaluated analytically. In the asymptotically flat case, the leading terms of E and B can be interpreted as gravitoelectric mass and gravitoelectric current of the PD solution, respectively, if there are no gravitomagnetic monopoles present. Furthermore, the square of the Bel–Robinson tensor reads (B2 + E2)2 for the PD solution, reminiscent of the square of the energy density in electrodynamics. By analogy to the energy–momentum 3-form of the electromagnetic field, we provide an alternative way to derive the recently introduced Bel–Robinson 3-form, from which the Bel–Robinson tensor can be calculated. We also determine the Kummer tensor, a tensor cubic in curvature, for a general type D solution for the first time, and calculate the pieces of its irreducible decomposition. The calculations are carried out in two coordinate systems: In the original polynomial PD coordinates and in a modified Boyer–Lindquist-like version introduced by Griffiths and Podolský (GP) allowing for a more straightforward physical interpretation of the free parameters.

scholarly journals Bulk viscous L.R.S. Bianchi type V tilted stiff fluid cosmological model in general relativity

2008 ◽  
Vol 665 (5) ◽  
pp. 332-337 ◽  
Author(s):  
Raj Bali ◽  
Pramila Kumawat
Keyword(s):  
General Relativity ◽  
Cosmological Model ◽  
Bianchi Type ◽  
Stiff Fluid ◽  
Bulk Viscous ◽  
Type V ◽  
Bianchi Type V

The effect of sources on horizons that may develop when plane gravitational waves collide

1987 ◽  
Vol 414 (1846) ◽  
pp. 1-30 ◽  
Keyword(s):  
General Relativity ◽  
Electromagnetic Field ◽  
Energy Density ◽  
Special Relativity ◽  
Gravitational Waves ◽  
Perfect Fluid ◽  
Three Dimensional ◽  
Subsequent Time ◽  
Colliding Gravitational Waves ◽  
Plane Gravitational Waves

Colliding plane gravitational waves that lead to the development of a horizon and a subsequent time-like singularity are coupled with an electromagnetic field, a perfect fluid (whose energy density, ∊ , equals the pressure, p ), and null dust (consisting of massless particles). The coupling of the gravitational waves with an electromagnetic field does not affect, in any essential way, the development of the horizon or the time-like singularity if the polarizations of the colliding gravitational waves are not parallel. If the polarizations are parallel, the space-like singularity which occurs in the vacuum is transformed into a horizon followed by a three-dimensional time-like singularity by the merest presence of the electromagnetic field. The coupling of the gravitational waves with an ( ∊ = p )-fluid and null dust affect the development of horizons and singularities in radically different ways: the ( ∊ = p )-fluid affects the development decisively in all cases but qualitatively in the same way, while null dust prevents the development of horizons and allows only the development of space-like singularities. The contrasting behaviours of an ( ∊ = p )-fluid and of null dust in the framework of general relativity is compared with the behaviours one may expect, under similar circumstances, in the framework of special relativity.

Viscous fluid universe filled with stiff fluid in general relativity

1991 ◽  
Vol 185 (2) ◽  
pp. 211-222 ◽  
Author(s):  
Raj Bali ◽  
Deepak Raj Jain
Keyword(s):  
General Relativity ◽  
Viscous Fluid ◽  
Stiff Fluid

scholarly journals On the first G 1 stiff fluid spike solution in General Relativity

2016 ◽  
Vol 33 (21) ◽  
pp. 215010 ◽  
Author(s):  
A A Coley ◽  
D Gregoris ◽  
W C Lim
Keyword(s):  
General Relativity ◽  
Stiff Fluid ◽  
Spike Solution

On the Geometry of the Electromagnetic Field in General Relativity

1936 ◽  
Vol s2-41 (1) ◽  
pp. 302-322 ◽  
Author(s):  
H. S. Ruse
Keyword(s):  
General Relativity ◽  
Electromagnetic Field

scholarly journals TORSION AND THE ELECTROMAGNETIC FIELD

1999 ◽  
Vol 08 (02) ◽  
pp. 141-151 ◽  
Author(s):  
V. C. DE ANDRADE ◽  
J. G. PEREIRA
Keyword(s):  
General Relativity ◽  
Electromagnetic Field ◽  
Gauge Invariance ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Local Gauge ◽  
Local Gauge Invariance

In the framework of the teleparallel equivalent of general relativity, we study the dynamics of a gravitationally coupled electromagnetic field. It is shown that the electromagnetic field is able not only to couple to torsion, but also, through its energy–momentum tensor, produce torsion. Furthermore, it is shown that the coupling of the electromagnetic field with torsion preserves the local gauge invariance of Maxwell's theory.

scholarly journals The Inertia of Light. Newton's Law in 4 Dimensions.

2019 ◽  
Author(s):  
Wim Vegt
Keyword(s):  
General Relativity ◽  
Electromagnetic Field ◽  
Field Configuration ◽  
Energy Tensor ◽  
Electromagnetic Mass ◽  
Spatial Direction ◽  
Newtonian Physics ◽  
Isaac Newton ◽  
Spatial Coordinate ◽  
James Clerk Maxwell

Isaac Newton and James Clerk Maxwell were giants in the history of physics. Newton in his century (1643 – 1727) and Maxwell about 150 years later (1831 – 1879) in his own century. Newton has built his theories, based on the deep and profound wisdom in nature and religion. For this reason, Newton has been called the last magician in his time. Maxwell represents modern physics and he has built his theories only on pure mathematics. Based on Newtonian Physics it is possible to reach much further in physics than the achievements based on a simple Maxwell’s mathematical approach. Newtonian Physics gives a new insight in the fundamental physics of Light, Electromagnetic Fields, Dirac’s relativistic Quantum Physics and Einstein’s General Relativity. All we know about light, and in general about any electromagnetic field configuration, has been based only on two fundamental theories. James Clerk Maxwell introduced in 1865 the “Theory of Electrodynamics” with the publication: “A Dynamical Theory of the Electromagnetic Field” and Albert Einstein introduced in 1905 the “Theory of Special Relativity” with the publication: “On the Electrodynamics of Moving Bodies” and in 1913 the “Theory of General Relativity” with the publication ”Outline of a Generalized Theory of Relativity and of a Theory of Gravitation”. However, both theories are not capable to explain the property of electromagnetic mass and in specific the anisotropy of the phenomenon of electromagnetic mass. To understand what electromagnetic inertia and the corresponding electromagnetic mass is and how the anisotropy of electromagnetic mass can be explained and how it has to be defined, a New Theory about Light has to be developed. A part of this New Theory about Light will be published in this article.The New Theory about Light has been based on one single fundamental property of our Universe. The unique property that there has always been, is always and will always be a perfect equilibrium within our Universe. Isaac Newton has discovered this fundamental physical law already 300 years ago by his third law in physics. “For every action there is an equal and opposite reaction”. In the New Theory this law of Equilibrium has been extended for any arbitrary Electromagnetic Field Configuration, which requires the fundamental Universal Property: “The total algebraic sum of all force densities will always equal zero at any time at any spatial coordinate in any spatial direction”. To develop a set of 4 electromagnetic equations, describing all the force densities within any arbitrary electromagnetic field configuration, the Divergence of the 4-Dimensional Stress-Energy Tensor has been taken, resulting in the 4-Dimensional Electromagnetic Vector Equation with the fundamental requirement: “The the total algebraic sum of all force densities equals zero at any time at any spatial coordinate in any spatial direction”

Magnetized Stiff Fluid Cylindrically Symmetric Universe with Two Degrees of Freedom in General Relativity

2008 ◽  
Vol 47 (9) ◽  
pp. 2218-2229 ◽  
Author(s):  
Raj Bali ◽  
Mahbub Ali ◽  
Vimal Chand Jain
Keyword(s):  
General Relativity ◽  
Degrees Of Freedom ◽  
Stiff Fluid ◽  
Two Degrees Of Freedom ◽  
Cylindrically Symmetric

Symmetries of the electromagnetic field in general relativity

1995 ◽  
Vol 4 (5) ◽  
pp. 337-343
Author(s):  
Zafar Ahsan
Keyword(s):  
General Relativity ◽  
Electromagnetic Field
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