Spacetime structure of static solutions in Gauss-Bonnet gravity: Neutral case

  title={Spacetime structure of static solutions in Gauss-Bonnet gravity: Neutral case},
  author={Takashi Torii and Hideki Maeda},
  journal={Physical Review D},
We study the spacetime structures of the static solutions in the n-dimensional Einstein-Gauss-Bonnet-{lambda} system systematically. We assume the Gauss-Bonnet coefficient {alpha} is non-negative and a cosmological constant is either positive, zero, or negative. The solutions have the (n-2)-dimensional Euclidean submanifold, which is the Einstein manifold with the curvature k=1, 0, and -1. We also assume 4{alpha}-tilde/l{sup 2}{ 0. The divergent behavior around the singularity in Gauss-Bonnet… Expand
Dynamical black holes with symmetry in Einstein–Gauss–Bonnet gravity
We explore various aspects of dynamical black holes defined by a future outer trapping horizon in n(≥5)-dimensional Einstein–Gauss–Bonnet gravity. In the present paper, we assume that the spacetimeExpand
Gauss-Bonnet black holes with nonconstant curvature horizons
We investigate static and dynamical n({>=}6)-dimensional black holes in Einstein-Gauss-Bonnet gravity of which horizons have the isometries of an (n-2)-dimensional Einstein space with a condition onExpand
Effects of Gauss–Bonnet term on the final fate of gravitational collapse
We obtain a general spherically symmetric solution of a null dust fluid in n(≥4) dimensions in Gauss–Bonnet gravity. This solution is a generalization of the n-dimensional Vaidya–(anti)de SitterExpand
Gravitational solitons and C0 vacuum metrics in five-dimensional Lovelock gravity
Junction conditions for vacuum solutions in five-dimensional Einstein–Gauss–Bonnet gravity are studied. We focus on those cases where two spherically symmetric regions of space-time are joined inExpand
Asymptotically AdS Charged Black Holes in String Theory with Gauss-Bonnet Correction in Various Dimensions
We study charged black hole solutions in Einstein-Maxwell-Gauss-Bonnet theory with the dilaton field which is the low-energy effective theory of the heterotic string. The spacetime is $D$-dimensionalExpand
Noncommutative geometry inspired Einstein-Gauss-Bonnet black holes
Low energy limits of a string theory suggests that the gravity action should include quadratic and higher-order curvature terms, in the form of dimensionally continued Gauss?Bonnet densities.Expand
Radiating black hole solutions in Einstein-Gauss-Bonnet gravity
In this paper, we find some new exact solutions to the Einstein-Gauss-Bonnet equations. First, we prove a theorem which allows us to find a large family of solutions to the Einstein-Gauss-BonnetExpand
Black Holes in the Dilatonic Einstein-Gauss-Bonnet Theory in Various Dimensions IV - Topological Black Holes with and without Cosmological Term
We study black hole solutions in the Einstein gravity with Gauss-Bonnet term, the dilaton and a positive “cosmological constant” in various dimensions. Physically meaningful black holes with aExpand
Black Hole in the Expanding Universe with Arbitrary Power-Law Expansion
We present a time-dependent and spatially inhomogeneous solution that interpolates the extremal Reissner-Nordstroem (RN) black hole and the Friedmann-Lemaitre-Robertson-Walker (FLRW) universe withExpand
Anti-de Sitter Hayward black holes in Einstein–Gauss–Bonnet gravity
Abstract Lovelock gravitation theory is a natural extension of the General Relativity to higher dimensions with the inclusion of only second-order terms correspond to the Einstein–Gauss–BonnetExpand


Thermodynamic and gravitational instability on hyperbolic spaces
We study the properties of anti‐de Sitter black holes with a Gauss-Bonnet term for various horizon topologies ( k50,61) and for various dimensions, with emphasis on the less well understood k521Expand
Gauss-Bonnet black holes in AdS spaces
We study the thermodynamic properties and phase structures of topological black holes in Einstein theory with a Gauss-Bonnet term and a negative cosmological constant. The event horizon of theseExpand
Cosmological solutions of Hořava-Witten theory
We discuss cosmological solutions of Ho{hacek r}ava-Witten theory describing the strongly coupled heterotic string. At energies below the grand-unified scale, the effective theory is five, not four,Expand
Spherically symmetric solutions of general second-order gravity.
  • Whitt
  • Physics, Medicine
  • Physical review. D, Particles and fields
  • 1988
The general second-order gravity theory, whose Lagrangian includes higher powers of the curvature, is considered in arbitrary dimensions. It is shown that spherically symmetric solutions are static,Expand
Black hole entropy is Noether charge.
  • Wald
  • Physics, Medicine
  • Physical review. D, Particles and fields
  • 1993
The results show that the validity of the "second law" of black hole mechanics in dynamical evolution from an initially stationary black hole to a final stationary state is equivalent to the positivity of a total Noether flux, and thus may be intimately related to the positive energy properties of the theory. Expand
Covariant gravitational equations on a brane world with a Gauss-Bonnet term
We present covariant gravitational equations to describe a four-dimensional brane world in the case with a Gauss-Bonnet term in a bulk spacetime, assuming that gravity is confined on the ${Z}_{2}$Expand
Novel Cauchy-horizon instability
The evolution of weak discontinuity is investigated on horizons in the n-dimensional static solutions in the Einstein-Maxwell-scalar-{lambda} system, including the Reissner-Nordstroem-(anti) deExpand
Anti-de Sitter Black Holes, Thermal Phase Transition and Holography in Higher Curvature Gravity
We study anti\char21{}de Sitter black holes in the Einstein-Gauss-Bonnet and the generic ${R}^{2}$ gravity theories, evaluate different thermodynamic quantities, and also examine the possibilities ofExpand
Dilatonic black holes with Gauss-Bonnet term
We discuss black holes in an effective theory derived from a superstring model, which includes a dilaton field, a gauge field and the Gauss-Bonnet term. Assuming U(1) or SU(2) symmetry for the gaugeExpand
A Note on Thermodynamics of Black Holes in Lovelock Gravity
Abstract The Lovelock gravity consists of the dimensionally extended Euler densities. The geometry and horizon structure of black hole solutions could be quite complicated in this gravity, however,Expand