Charged dust spheres in general relativity

Misra, Rampada; Srivastava, D. C.

doi:10.1103/physrevd.9.844

Cited by 6 publications

(4 citation statements)

References 11 publications

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“…The integral in the right-hand side is elementary and is given explicitly in appendix B (equation (Bl)). Equations ( l ) , (6)(7)(8)(9), (12-15) and (21) express the general solution for spherical charged dust. In the presence of a cosmological constant A # 0 this solution still holds, with the only difference that A (in equation ( 6) ) is now replaced by…”

Section: F ( M R ) = F ( M ) + [ U R ( M R ) ] -3 [ -+ -( --Q % ) ]...mentioning

confidence: 99%

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The general solution for spherical charged dust

Ori

1990

Class. Quantum Grav.

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The general solution of the Maxwell-Einstein equations for spherical charged dust flow is presented explicitly. The solution is first derived, by a simple geometrical construction, in mass-area (m, r) coordinates, and then transformed to mass-proper time (m, tau ) coordinates. This solution depends on three arbitrary functions of the mass coordinate. This is just what one would expect because, in general, three arbitrary functions are required to determine the evolution of charged dust spheres, namely the initial distributions of the velocity, matter density and charge density. The generalisation to the case of non-zero cosmological constant is also presented. In the special case of neutral dust (and without a cosmological constant) the charged-dust solution reduces to the Tolman-Bondi solution. Several general properties are discussed, as well as two special subclasses-the marginally bound case and the self-similar case.

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Section: F ( M R ) = F ( M ) + [ U R ( M R ) ] -3 [ -+ -( --Q % ) ]...mentioning

confidence: 99%

“…In Schwarzschild coordinates ( r , t ) one can easily solve for U , and g,, [SI, but g,, and p are still unknown. An explicit solution is already known for a few special cases [4,7,8]. Unfortunately, none of these special cases is relevant to the problem of a gravitational collapse followed by a bounce inside the black hole.…”

Section: Introductionmentioning

confidence: 99%

The general solution for spherical charged dust

Ori

1990

Class. Quantum Grav.

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“…(A22) From now on we specialise to the case of charged dust, i.e., we set p d = 0 [37,38]. Then, the equations governing the dynamics reduce to…”

Section: Appendix A: Relativistic Field Equationsmentioning

confidence: 99%

Inhomogeneous Hubble diagram from vector K-mouflage

Jiménez¹,

Bettoni²,

Brax³

2021

Class. Quantum Grav.

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In this letter we construct the Hubble diagram for a universe where dark matter is universally charged under a dark non-linear electromagnetic force which features a screening mechanism of the K-mouflage type for repulsive forces. By resorting to the Newtonian approximation, we explicitly show that the cosmological evolution generates an inhomogeneous Hubble diagram that corresponds to a curvature dominated expansion at short distances and converges to the cosmological one of ΛCDM. We discuss the potential impact of this inhomogeneous profile on the Hubble tension. For completeness, we explicitly show how the Newtonian approximation can be derived from an inhomogeneous relativistic Lemaître model.

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“…Solutions which obey an equation of state have constant pressure and density, which is equivalent to the presence of cosmological constant [10]. The case of charged dust has also attracted attention [11], [12], [13]. Such solutions cannot be shear-free [11].…”

Section: Introductionmentioning

confidence: 99%

Self-gravitating spheres of anisotropic fluid in geodesic flow

Ivanov

2011

Preprint

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The fluid models mentioned in the title are classified. All characteristics of the fluid are expressed through a master potential, satisfying an ordinary second order differential equation. Different constraints are imposed on this core of relations, finding new solutions and deriving the classical results for perfect fluids and dust as particular cases. Many uncharged and charged anisotropic solutions, all conformally flat and some uniform density solutions are found. A number of solutions with linear equation among the two pressures are derived, including the case of vanishing tangential pressure.

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Charged dust spheres in general relativity

Cited by 6 publications

References 11 publications

The general solution for spherical charged dust

The general solution for spherical charged dust

Inhomogeneous Hubble diagram from vector K-mouflage

Self-gravitating spheres of anisotropic fluid in geodesic flow

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