No ghost state of Gauss–Bonnet interaction in warped backgrounds

Cho, Y.M.; Neupane, Ishwaree P.; Wesson, Paul S.

doi:10.1016/s0550-3213(01)00579-x

Cited by 87 publications

(79 citation statements)

References 61 publications

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“…In this case, the resulting field equations contain no more than second derivatives of the metric tensor, thus the theory is free of ghost when expanding about the flat space. This is also true [17] also in the recently proposed Randall-Sundrum type warped geometry [18] (see [19] for discussion with GB term). It may be incorrect to assume that the higher derivative correction terms with "small" coefficients will just produce small modifications of the solution of the unperturbed (Einstein) theory [20].…”

Section: Introductionsupporting

confidence: 55%

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Anti–de Sitter black holes, thermal phase transition, and holography in higher curvature gravity

2002

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We study anti-de Sitter black holes and evaluate different thermodynamic quantities in the EinsteinGauss-Bonnet and the general R 2 gravity theories. We examine the possibility of Hawking-Page type thermal phase transitions between AdS black hole and thermal anti-de Sitter space in such theories. In Einstein theory with a possible cosmological term, one observes a Hawking-Page phase transition only if the event horizon is a hypersurface of positive constant curvature (k = 1). But in EinsteinGauss-Bonnet gravity there can occur a similar transition even for a horizon of negative constant curvature (k = −1), which may allow one to study the boundary conformal theory with different background geometries. For the Gauss-Bonnet black holes, one can relate the entropy of the black hole as measured at horizon to a variation of the geometric property of the horizon based on first law and Noether charge. With (Riemann) 2 terms, however, we can do this only approximately, and the two results agree in the limit r H >> L, the size of the horizon is much bigger than the AdS curvature. In (Riemann) 2 gravity, we establish certain relations between bulk data associated with the AdS black hole in five dimensions and boundary data defined on the horizon of the AdS geometry , in which case we do not expect a sensible holographic dual. We also give a heuristic approach to estimate the difference between Hubble entropy and Bakenstein-Hawking entropy with (Riemann) 2 term.

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Section: Introductionsupporting

confidence: 55%

“…Besides that, in order to reconcile the above solution with that ofα = 0, one finds the upper branch ( = −1) as the physical one in flat or anti-de Sitter spaces. At any rate, we consider in this paper only the exact solution (14), rather than its perturbative cousins (17,18).…”

Section: Gauss-bonnet Black Hole In Ads Spacementioning

confidence: 99%

Anti–de Sitter black holes, thermal phase transition, and holography in higher curvature gravity

2002

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“…In fact, the graviton propagators in AdS n+1 spacetime, when n 4, do not receive any corrections from the massive (Kaluza-Klein) modes when k = 0 and α = l 2 /4 (see, for example, Ref. [29]), and so this background may be stable under linear perturbations.…”

Section: Choice Of Backgroundsmentioning

confidence: 99%

Thermodynamic and gravitational instability on hyperbolic spaces

Neupane

2004

Phys. Rev. D

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101

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We study the properties of anti-de Sitter black holes with a Gauss-Bonnet term for various horizon topologies (k = 0, ±1) and for various dimensions, with emphasis on the less well understood k = −1 solution. We find that the zero temperature (and zero energy density) extremal states are the local minima of the energy for AdS black holes with hyperbolic event horizons. The hyperbolic AdS black hole may be stable thermodynamically if the background is defined by an extremal solution and the extremal entropy is non-negative. We also investigate the gravitational stability of AdS spacetimes of dimensions D > 4 against linear perturbations and find that the extremal states are still the local minima of the energy. For a spherically symmetric AdS black hole solution, the gravitational potential is positive and bounded, with or without the Gauss-Bonnet type corrections, while, when k = −1, a small Gauss-Bonnet coupling, namely, α ≪ l 2 (where l is the curvature radius of AdS space), is found useful to keep the potential bounded from below, as required for stability of the extremal background.

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“…It is worth noting that, a Gauss-Bonnet term arises as the leading order quantum correction in the case of the heterotic string theory. The Randall-Sundrum model with an additional Gauss-Bonnet term has been considered in [21,22,23,24]. Brane models with scalar fields and Gauss-Bonnet gravity has been also examined in [25,26,27,28], while for cosmological implications see for example [29,30].…”

Section: Introductionmentioning

confidence: 99%

Gauss-Bonnet gravity, brane world models, and nonminimal coupling

Farakos

Pasipoularides

2007

Phys. Rev. D

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We study the case of brane world models with an additional Gauss-Bonnet term in the presence of a bulk scalar field which interacts non-minimally with gravity, via a possible interaction term of the form − 1 2 ξRφ 2 . The Einstein equations and the junction conditions on the brane are formulated, in the case of the bulk scalar field. Static solutions of this model are obtained by solving numerically the Einstein equations with the appropriate boundary conditions on the brane. Finally, we present graphically and comment these solutions for several values of the free parameters of the model.

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No ghost state of Gauss–Bonnet interaction in warped backgrounds

Cited by 87 publications

References 61 publications

Anti–de Sitter black holes, thermal phase transition, and holography in higher curvature gravity

Anti–de Sitter black holes, thermal phase transition, and holography in higher curvature gravity

Thermodynamic and gravitational instability on hyperbolic spaces

Gauss-Bonnet gravity, brane world models, and nonminimal coupling

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