Exact relativistic solution of disordered radiation with planar symmetry

Teixeira, A. F. da F.; Wolk, I.; Som, M. M.

doi:10.1088/0305-4470/10/10/005

Cited by 19 publications

(9 citation statements)

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“…In the literature, the perfect fluid ǫ = 0 is most studied ( [7] , [8], [9], [10], [11], [12], [2]sec. 15.7.1), followed by the Einstein-Maxwell system of a charged infinite plane ( [3], [13] ), where γ = 0 and ǫ = −1.…”

Section: Applications To Simple Fluidsmentioning

confidence: 99%

On the local form of static plane symmetric spacetimes in the presence of matter

Gomes¹

2015

Class. Quantum Grav.

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For any configuration of a static plane-symmetric distribution of matter along spacetime, there are coordinates where the metric can be put explicitly as a functional of the energy density and pressures. It satisfies Einstein equations as far as we require the conservation of the energy-momentum tensor, which is the single ODE for selfgravitating hydrostatic equilibrium. As a direct application, a general solution is given when the pressures are linearly related to the energy density, recovering, as special cases, most of known solutions of static plane-symmetric Einstein equations.

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Section: Applications To Simple Fluidsmentioning

confidence: 99%

On the local form of static plane symmetric spacetimes in the presence of matter

Gomes¹

2015

Class. Quantum Grav.

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“…For the following example, we have chosen to perform duality on an inhomogeneous metric that has the following form [12] …”

Section: Texeira Et Al's Inhomogeneous Metricmentioning

confidence: 99%

“…The exact solution of the corresponding general relativistic field equations for this space-time filled with a perfect fluid with state equation p = ρ/3 is well known [12]:…”

Section: Texeira Et Al's Inhomogeneous Metricmentioning

confidence: 99%

O(d,d)-invariance in Inhomogeneous String Cosmologies with Perfect Fluid

Demaret¹,

Pietro²

1999

General Relativity and Gravitation

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In the first part of the present paper, we show that O(d, d)-invariance usually known in a homogeneous cosmological background written in terms of proper time can be extended to backgrounds depending on one or several coordinates (which may be any space-like or time-like coordinate(s)). In all cases, the presence of a perfect fluid is taken into account and the equivalent duality transformation in Einstein frame is explicitly given. In the second part, we present several concrete applications to some four-dimensional metrics, including inhomogeneous ones, which illustrate the different duality transformations discussed in the first part. Note that most of the dual solutions given here do not seem to be known in the literature.

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“…In this solution, the density and pressure behave in a non-conventional way: Both the density and pressure are variables with respect to spatial position and they are not proportional to each other. All the previous solutions have been derived based on the suppositions that the density is proportional to the pressure or the density is a constant [2,3,4].…”

Section: Introductionmentioning

confidence: 99%

n-dimensional plane symmetric solution with perfect fluid source

Zhang

Noh

2009

Physics Letters B

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A new class of plane symmetric solution sourced by a perfect fluid is found in our recent work. An n-dimensional (n ≥ 4) global plane symmetric solution of Einstein field equation generated by a perfect fluid source is investigated, which is the direct generalization of our previous 4-dimensional solution. One time-like Killing vector and (n − 2)(n − 1)/2 space-like Killing vectors, which span a Euclidean group G (n−2)(n−1)/2 , are permitted in this solution. The regions of the parameters constrained by weak, strong and dominant energy conditions for the source are studied. The boundary condition to match to n-dimensional Taub metric and Minkowski metric are analyzed respectively.

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Exact relativistic solution of disordered radiation with planar symmetry

Cited by 19 publications

References 0 publications

On the local form of static plane symmetric spacetimes in the presence of matter

On the local form of static plane symmetric spacetimes in the presence of matter

O(d,d)-invariance in Inhomogeneous String Cosmologies with Perfect Fluid

n-dimensional plane symmetric solution with perfect fluid source

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