2,459 research outputs found
Energy-Momentum Distribution: A Crucial Problem in General Relativity
This paper is aimed to elaborate the problem of energy-momentum in General
Relativity. In this connection, we use the prescriptions of Einstein,
Landau-Lifshitz, Papapetrou and M\"{o}ller to compute the energy-momentum
densities for two exact solutions of Einstein field equations. The spacetimes
under consideration are the non-null Einstein-Maxwell solutions and the
singularity-free cosmological model. The electromagnetic generalization of the
G\"{o}del solution and the G\"{o}del metric become special cases of the
non-null Einstein-Maxwell solutions. It turns out that these prescriptions do
not provide consistent results for any of these spacetimes. These inconsistence
results verify the well-known proposal that the idea of localization does not
follow the lines of pseudo-tensorial construction but instead follows from the
energy-momentum tensor itself. These differences can also be understood with
the help of the Hamiltonian approach.Comment: 28 pages, accepted for publication in Int. J. Mod. Phys.
Charged Perfect Fluid Cylindrical Gravitational Collapse
This paper is devoted to study the charged perfect fluid cylindrical
gravitational collapse. For this purpose, we find a new analytical solution of
the field equations for non-static cylindrically symmetric spacetime. We
discuss physical properties of the solution which predict gravitational
collapse. It is concluded that in the presence of electromagnetic field the
outgoing gravitational waves are absent. Further, it turns out that when
longitudinal length reduces to zero due to resultant action of gravity and
electromagnetic field, then the end state of the gravitational collapse is a
conical singularity. We also explore the smooth matching of the collapsing
cylindrical solution to a static cylindrically symmetric solution. In this
matching, we take a special choice of constant radius of the boundary surface.
We conclude that the gravitational and Coulomb forces of the system balance
each other.Comment: 17 pages, 4 figures, accepted for publication in J. Phys. Soc. Jp
Cold Plasma Wave Analysis in Magneto-Rotational Fluids
This paper is devoted to investigate the cold plasma wave properties. The
analysis has been restricted to the neighborhood of the pair production region
of the Kerr magnetosphere. The Fourier analyzed general relativistic
magnetohydrodynamical equations are dealt under special circumstances and
dispersion relations are obtained. We find the -component of the complex
wave vector numerically. The corresponding components of the propagation
vector, attenuation vector, phase and group velocities are shown in graphs. The
direction and dispersion of waves are investigated.Comment: 22 pages, 18 figures, accepted for publication in Astrophys. Space
Sc
Complex Wave Numbers in the Vicinity of the Schwarzschild Event Horizon
This paper is devoted to investigate the cold plasma wave properties outside
the event horizon of the Schwarzschild planar analogue. The dispersion
relations are obtained from the corresponding Fourier analyzed equations for
non-rotating and rotating, non-magnetized and magnetized backgrounds. These
dispersion relations provide complex wave numbers. The wave numbers are shown
in graphs to discuss the nature and behavior of waves and the properties of
plasma lying in the vicinity of the Schwarzschild event horizon.Comment: 21 pages, 9 figures, accepted for publication Int. J. Mod. Phys.
Matter collineations of Spacetime Homogeneous G\"odel-type Metrics
The spacetime homogeneous G\"odel-type spacetimes which have four classes of
metrics are studied according to their matter collineations. The obtained
results are compared with Killing vectors and Ricci collineations. It is found
that these spacetimes have infinite number of matter collineations in
degenerate case, i.e. det, and do not admit proper matter
collineations in non-degenerate case, i.e. det. The degenerate
case has the new constraints on the parameters and which characterize
the causality features of the G\"odel-type spacetimes.Comment: 12 pages, LaTex, no figures, Class. Quantum.Grav.20 (2003) 216
Non-Commutative Correction to Thin Shell Collapse in Reissner Nordstrm Geometry
This paper investigates the polytropic matter shell collapse in the
non-commutative Reissner-Nordstrm geometry. Using the Israel
criteria, equation of motion for the polytropic matter shell is derived. In
order to explore the physical aspects of this equation, the most general
equation of state, , has been used for finite
and infinite values of . The effective potentials corresponding to the
equation of motion have been used to explain different states of the matter
shell collapse. The numerical solution of the equation of motion predicts
collapse as well as expansion depending on the choice of initial data. Further,
in order to include the non-commutative correction, we modify the matter
components and re-formulate the equation of motion as well as the corresponding
effective potentials by including non-commutative factor and charge parameter.
It is concluded that charge reduces the velocity of the expanding or collapsing
matter shell but does not bring the shell to static position. While the
non-commutative factor with generic matter favors the formation of black hole.Comment: 18 pages,17 figure
Teleparallel Energy-Momentum Distribution of Spatially Homogeneous Rotating Spacetimes
The energy-momentum distribution of spatially homogeneous rotating spacetimes
in the context of teleparallel theory of gravity is investigated. For this
purpose, we use the teleparallel version of Moller prescription. It is found
that the components of energy-momentum density are finite and well-defined but
are different from General Relativity. However, the energy-momentum density
components become the same in both theories under certain assumptions. We also
analyse these quantities for some special solutions of the spatially
homogeneous rotating spacetimes.Comment: 12 pages, accepted for publication in Int. J. Theor. Phy
Dynamics of Charged Plane Symmetric Gravitational Collapse
In this paper, we study dynamics of the charged plane symmetric gravitational
collapse. For this purpose, we discuss non-adiabatic flow of a viscous fluid
and deduce the results for adiabatic case. The Einstein and Maxwell field
equations are formulated for general plane symmetric spacetime in the interior.
Junction conditions between the interior and exterior regions are derived. For
the non-adiabatic case, the exterior is taken as plane symmetric charged Vaidya
spacetime while for the adiabatic case, it is described by plane
Reissner-Nordstrm spacetime. Using Misner and Sharp formalism, we
obtain dynamical equations to investigate the effects of different forces over
the rate of collapse. In non-adiabatic case, a dynamical equation is joined
with transport equation of heat flux. Finally, a relation between the Weyl
tensor and energy density is found.Comment: 21 pages, accepted for publication Gen. Relativ. Gra
Teleparallel Killing Vectors of Spherically Symmetric Spacetimes
In this paper, Killing vectors of spherically spacetimes have been evaluated
in the context of teleparallel theory of gravitation. Further, we investigate
the Killing vectors of the Friedmann metrics. It is found that for static
spherically spacetimes the number of Killing vectors turn out to be
\emph{seven} while for the Friedmann models, we obtain \emph{six} teleparallel
Killing vectors. The results are then compared with those of General
Relativity. We conclude that both of these descriptions of gravity do not
provide the consistent results in general. However, these results may coincide
under certain conditions for a particular spacetime.Comment: 14 pages, accepted for publication in Communications in Theoretical
Physic
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