Singular hypersurfaces and thin shells in general relativity

Israel, W.

doi:10.1007/bf02710419

Cited by 2,848 publications

(2,936 citation statements)

References 3 publications

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“…(3) we have underlined the term whose presence makes braneworld theory different from general relativity. (It should perhaps be mentioned that the variation of action (1) which includes the Gibbons-Hawking surface term brane K leads to the Israel junction conditions [20] on the brane, as demonstrated in [14,15].) From (3) one can show that there exists a scale whose value determines the domain in which general relativity is approximately valid [12,21].…”

Section: Basic Equationsmentioning

confidence: 99%

Braneworld models of dark energy

Sahni

Shtanov

2003

J. Cosmol. Astropart. Phys.

716

665

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We explore a new class of braneworld models in which the scalar curvature of the (induced) brane metric contributes to the brane action. The scalar curvature term arises generically on account of one-loop effects induced by matter fields residing on the brane. Spatially flat braneworld models can enter into a regime of accelerated expansion at late times. This is true even if the brane tension and the bulk cosmological constant are tuned to satisfy the Randall-Sundrum constraint on the brane. Braneworld models admit a wider range of possibilities for dark energy than standard LCDM. In these models the luminosity distance can be both smaller and larger than the lu- Within the conventional framework, 'phantom energy' with w < −1 is beset with a host of undesirable properties, which makes this model of dark energy unattractive. Braneworld models, on the other hand, have the capacity to endow dark energy with exciting new possibilities (including w < −1) without suffering from the problems faced by phantom energy. For a sub-1 class of parameter values, braneworld dark energy and the acceleration of the universe are transient phenomena. In these models, the universe, after the current period of acceleration, re-enters the matter-dominated regime so that the deceleration parameter q(t) → 0.5 when t ≫ t 0 , where t 0 is the present epoch. Such models could help reconcile an accelerating universe with the requirements of string/M-theory.

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Section: Basic Equationsmentioning

confidence: 99%

Braneworld models of dark energy

Sahni

Shtanov

2003

J. Cosmol. Astropart. Phys.

716

665

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“…Thin shells in General Relativity are modeled by using the well-known Darmois-Israel [42][43][44] formalism. The junction conditions allow to match two solutions onto a hypersurface under different conditions, for example the interior and exterior solutions corresponding to stars, galaxies, etc.…”

Section: Introductionmentioning

confidence: 99%

Thin-shell wormholes with charge in F(R) gravity

Eiroa

Figueroa-Aguirre

2016

Eur. Phys. J. C

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In this article, we construct a class of constant curvature and spherically symmetric thin-shell Lorentzian wormholes in F(R) theories of gravity and we analyze their stability under perturbations preserving the symmetry. We find that the junction conditions determine the equation of state of the matter at the throat. As a particular case, we consider configurations with mass and charge. We obtain that stable static solutions are possible for suitable values of the parameters of the model.

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“…Thus, by using the distributional approach [46][47][48] or the junction conditions on the extrinsic curvature of thin shells [49][50][51], the Einstein-Maxwell equations yield an energymomentum tensor T ab = T elm ab + T mat ab , where T mat ab = Q ab δ(z), and a current density J a = j a δ(z) = −2e 2(Ψ−Λ) A a,z δ(z), where δ(z) is the usual Dirac function with support on the disk. T elm ab is the electromagnetic tensor defined in Eq.…”

Section: Electrovacuum Rotating Relativistic Thin Disksmentioning

confidence: 99%

Rotating and counterrotating relativistic thin disks as sources of stationary electrovacuum spacetimes

García-Reyes¹,

González²

2007

Braz. J. Phys.

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A detailed study is presented of the counterrotating model (CRM) for electrovacuum stationary axially symmetric relativistic thin disks of infinite extension without radial stress, in the case when the eigenvalues of the energy-momentum tensor of the disk are real quantities, so that there is not heat flow. We find a general constraint over the counterrotating tangential velocities needed to cast the surface energy-momentum tensor of the disk as the superposition of two counterrotating charged dust fluids. We then show that, in some cases, this constraint can be satisfied if we take the two counterrotating tangential velocities as equal and opposite or by taking the two counterrotating streams as circulating along electro-geodesics. However, we show that, in general, it is not possible to take the two counterrotating fluids as circulating along electro-geodesics nor take the two counterrotating tangential velocities as equal and opposite. A simple family of models of counterrotating charged disks based on the Kerr-Newman solution are considered where we obtain some disks with a CRM well behaved. We also show that the disks constructed from the Kerr-Newman solution can be interpreted, for all the values of parameters, as a matter distribution with currents and purely azimuthal pressure without heat flow. The models are constructed using the well-known "displace, cut and reflect" method extended to solutions of vacuum Einstein-Maxwell equations. We obtain, in all the cases, counterrotating Kerr-Newman disks that are in agreement with all the energy conditions.

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Singular hypersurfaces and thin shells in general relativity

Cited by 2,848 publications

References 3 publications

Braneworld models of dark energy

Braneworld models of dark energy

Thin-shell wormholes with charge in F(R) gravity

Rotating and counterrotating relativistic thin disks as sources of stationary electrovacuum spacetimes

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