Black holes in pure Lovelock gravities

Cai, Rong-Gen; Ohta, Nobuyoshi

doi:10.1103/physrevd.74.064001

Cited by 131 publications

(165 citation statements)

References 47 publications

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“…In analogy to what happens with Lovelock gravity, we call this case the pure quasi-topological case. In the context of Lovelock theory, this case has received attention since it's the simplest case that admits a unique constant curvature solution that also propagates a graviton [47][48][49]. The theory therefore reads 5) and the black holes solution reduces to…”

Section: Pure Quasi-topological Gravitymentioning

confidence: 99%

Quintic quasi-topological gravity

Cisterna

Guajardo

Hassaı̈ne

et al. 2017

J. High Energ. Phys.

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We construct a quintic quasi-topological gravity in five dimensions, i.e. a theory with a Lagrangian containing R 5 terms and whose field equations are of second order on spherically (hyperbolic or planar) symmetric spacetimes. These theories have recently received attention since when formulated on asymptotically AdS spacetimes might provide for gravity duals of a broad class of CFTs. For simplicity we focus on five dimensions. We show that this theory fulfils a Birkhoff's Theorem as it is the case in Lovelock gravity and therefore, for generic values of the couplings, there is no s-wave propagating mode. We prove that the spherically symmetric solution is determined by a quintic algebraic polynomial equation which resembles Wheeler's polynomial of Lovelock gravity. For the black hole solutions we compute the temperature, mass and entropy and show that the first law of black holes thermodynamics is fulfilled. Besides of being of fourth order in general, we show that the field equations, when linearized around AdS are of second order, and therefore the theory does not propagate ghosts around this background. Besides the class of theories originally introduced in arXiv:1003.4773, the general geometric structure of these Lagrangians remains an open problem.

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Section: Pure Quasi-topological Gravitymentioning

confidence: 99%

Quintic quasi-topological gravity

Cisterna

Guajardo

Hassaı̈ne

et al. 2017

J. High Energ. Phys.

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“…Since we have squared the junction condition, we must plug the solution back into (27) in order to determine the relative orientation consistent with the solution. A consistent solution will obey an even number of the three inequalities:…”

Section: Timelikementioning

confidence: 99%

“Mass without mass” from thin shells in Gauss-Bonnet gravity

Gravanis

Willison

2007

Phys. Rev. D

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Five tensor equations are obtained for a thin shell in Gauss-Bonnet gravity. There is the well known junction condition for the singular part of the stress tensor intrinsic to the shell, which we also prove to be well defined. There are also equations relating the geometry of the shell (jump and average of the extrinsic curvature as well as the intrinsic curvature) to the non-singular components of the bulk stress tensor on the sides of the thin shell.The equations are applied to spherically symmetric thin shells in vacuum. The shells are part of the vacuum, they carry no energy tensor. We classify these solutions of 'thin shells of nothingness' in the pure Gauss-Bonnet theory. There are three types of solutions, with one, zero or two asymptotic regions respectively. The third kind of solution are wormholes. Although vacuum solutions, they have the appearance of mass in the asymptotic regions. It is striking that in this theory, exotic matter is not needed in order for wormholes to exist-they can exist even with no matter.

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“…EGB is the N = 2 case of the Lovelock polynomial. Vacuum solutions have been determined for Lovelock gravity in general [20][21][22] as well as for dimensionally continued [5,[23][24][25], and also for pure Lovelock black holes [26,27]. Sharma [28] showed that the limiting case of the polytropic fluid may be regarded as isothermal and is important in the study of clusters of stars.…”

Section: Introductionmentioning

confidence: 99%

Generalized spheroidal spacetimes in 5-D Einstein–Maxwell–Gauss–Bonnet gravity

Hansraj

2017

Eur. Phys. J. C

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The field equations for static EGBM gravity are obtained and transformed to an equivalent form through a coordinate redefinition. A form for one of the metric potentials that generalizes the spheroidal ansatz of Vaidya-Tikekar superdense stars and additionally prescribing the electric field intensity yields viable solutions. Some special cases of the general solution are considered and analogous classes in the Einstein framework are studied. In particular the FinchSkea ansatz is examined in detail and found to satisfy the elementary physical requirements. These include positivity of pressure and density, the existence of a pressure free hypersurface marking the boundary, continuity with the exterior metric, a subluminal sound speed as well as the energy conditions. Moreover, the solution possesses no coordinate singularities. It is found that the impact of the Gauss-Bonnet term is to correct undesirable features in the pressure profile and sound speed index when compared to the equivalent Einstein gravity model. Furthermore graphical analyses suggest that higher densities are achievable for the same radial values when compared to the 5-dimensional Einstein case. The case of a constant gravitational potential, isothermal distribution as well as an incompressible fluid are studied. All exact solutions derived exhibit an equation of state explicitly.

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Black holes in pure Lovelock gravities

Cited by 131 publications

References 47 publications

Quintic quasi-topological gravity

Quintic quasi-topological gravity

“Mass without mass” from thin shells in Gauss-Bonnet gravity

Generalized spheroidal spacetimes in 5-D Einstein–Maxwell–Gauss–Bonnet gravity

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