Junction conditions in quadratic gravity: thin shells and double layers

Reina, Borja; Senovilla, José M. M.; Vera, Raül

doi:10.1088/0264-9381/33/10/105008

Cited by 56 publications

(117 citation statements)

References 26 publications

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“…All these contributions should be present in order to make the whole energymomentum tensor divergence-free [47,48]. Recently, these results were extended to the most general gravitational theory with a Lagrangian quadratic in the curvature [49].…”

Section: Introductionmentioning

confidence: 83%

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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Section: Introductionmentioning

confidence: 83%

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

Eiroa

Figueroa-Aguirre

2016

Eur. Phys. J. C

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“…A more elaborated example is given by the most general quadratic theory, whose field equations can be found, e.g., in [38]. Then, the existence of products of the Riemann and Ricci tensor distributions in these field equations implies that the curvature cannot carry a singular part -for the product of distributions is ill-defined.…”

Section: Discussionmentioning

confidence: 99%

“…Then, the existence of products of the Riemann and Ricci tensor distributions in these field equations implies that the curvature cannot carry a singular part -for the product of distributions is ill-defined. Therefore, one must impose that the entire H α βµν in (123) vanishes -except for the particular case where the theory has a Lagrangian R + αR 2 , [38,42]. This readily implies that y ab = 0, and thereby that G µν and W α βµν vanish too.…”

Section: Discussionmentioning

confidence: 99%

Equations for general shells

Senovilla

2018

J. High Energ. Phys.

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The complete set of (field) equations for shells of arbitrary, even changing, causal character are derived in arbitrary dimension. New equations that seem to have never been considered in the literature emerge, even in the traditional cases of everywhere non-null, or everywhere null, shells. In the latter case there arise field equations for some degrees of freedom encoded exclusively in the distributional part of the Weyl tensor. For non-null shells the standard Israel equations are recovered but not only, the additional relations containing also relevant information. The results are applicable to a widespread literature on domain walls, branes and braneworlds, gravitational layers, impulsive gravitational waves, and the like. Moreover, they are of a geometric nature, and thus they can be used in any theory based on a Lorentzian manifold.In [29], the questions of the junction conditions and of the existence of thin shells supported on hypersurfaces of arbitrary, even changing, causal character were addressed. Such hypersurfaces or shells are called general. The importance of dealing with hypersurfaces with possibly changing signature resides in the fact that they actually appear in many physical situations. Furthermore, because they are the generic type of hypersurface in any given spacetime. Some examples of relevant general hypersurfaces are, for instance, the spherically symmetric apparent horizon in Vaidya's spacetime -if the radiation stops at some times; more generally, dynamical horizons which eventually merge with the event horizon in asymptotically flat black-hole spacetimes; any achronal boundary, that is to say, the boundary of any future set [16]; Kerr's stationary limit surface, which is timelike everywhere but tangent to the event horizon at two lines intersecting the axis of symmetry, where it is null [16,48]; the interfaces arising in phase transitions if they occur in a concentrated spatial region and then propagate causally; signature changing braneworlds; and there are many others.Thus, for instance, if one wished to analyze the possibility of placing a surface layer on the stationary limit surface of a Kerr black hole, this should be done on a general, signaturechanging, hypersurface. Similarly, descriptions of signature change in the brane scenario -if we happen to live in a brane of a higher-dimensional world-are described by general shells, see [30,31,32]. The case of achronal boundaries is of particular interest because intuitive arguments lead to the expectation that an initial value problem for the gravitational field equations on such boundaries is well posed, see the interesting discussion in [27]. In addition to the above, a unifying framework for all type of shells, independently of their causal character, is desirable, and this may be achieved by describing general shells.The purpose of this paper is triple: (i) to find the full set of equations for general shells, (ii) to do it in arbitrary spacetime dimension, and (iii) the completion of known results for constant-signature shell...

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“…In order to have a divergence-free energy-momentum tensor, which guarantees local conservation, all these contributions have to be present [30][31][32]. These results were recently extended to any quadratic theory Lagrangian [33]. Within F(R) gravity, several studies have been performed in recent years such as static and spherically symmetric black holes [26,27,[34][35][36][37][38][39], traversable wormholes [40][41][42][43][44][45] and pure double layer bubbles [46].…”

Section: Introductionmentioning

confidence: 99%

Spherical thin shells in F(R) gravity: construction and stability

Eiroa

Figueroa-Aguirre

2018

Eur. Phys. J. C

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We present a broad class of spherical thin shells of matter in F(R) gravity. We show that the corresponding junction conditions determine the equation of state between the energy density and the pressure/tension at the surface. We analyze the stability of the static configurations under perturbations preserving the symmetry. We apply the formalism to the construction of charged bubbles and we find that there exist stable static configurations for a suitable set of the parameters of the model.

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Junction conditions in quadratic gravity: thin shells and double layers

Cited by 56 publications

References 26 publications

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

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

Equations for general shells

Spherical thin shells in F(R) gravity: construction and stability

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