Atiyah-Hitchin in Five Dimensional Einstein-Gauss-Bonnet Gravity
arXiv:1808.03217 · doi:10.1142/S0217732319502328
Abstract
We construct a new class of stationary exact solutions to five-dimensional Einstein-Gauss-Bonnet gravity. The solutions are based on four-dimensional self-dual Atiyah-Hitchin geometry. We find analytical solutions to the five-dimensional metric function that are regular everywhere. We find some constraints on the possible physical solutions by investigating the solutions numerically. We also study the behavior of the solutions in the extremal limits of the Atiyah-Hitchin geometry. In the extremal limits, the Atiyah-Hitchin metric reduces to a bolt structure and Euclidean Taub-NUT space, respectively. In these limits, the five-dimensional metric function approaches to a constant value and infinity, respectively. We find the asymptotic metrics are regular everywhere.
arXiv comment16 pages, 5 figures
References in corpus (36)
- Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
- String Theory Dynamics In Various Dimensions
- Evasion of No-Hair Theorems and Novel Black-Hole Solutions in Gauss-Bonnet Theories
- Eleven Dimensional Origin of String/String Duality: A One Loop Test
- The Power of M Theory
- Causality constraints in AdS/CFT from conformal collider physics and Gauss-Bonnet gravity
- Spinning black holes in Einstein--Gauss-Bonnet--dilaton theory: non-perturbative solutions
- Exact solutions for the Einstein-Gauss-Bonnet theory in five dimensions: Black holes, wormholes and spacetime horns
- Supergravity Solution of Intersecting Branes and AdS/CFT with Flavor
- Exact Results for Evaporating Black Holes in Curvature-Squared Lovelock Gravity: Gauss-Bonnet Greybody Factors
- Exact barotropic distributions in Einstein-Gauss-Bonnet gravity
- Kerr-Schild ansatz in Einstein-Gauss-Bonnet gravity: An exact vacuum solution in five dimensions
- Kerr-Bolt Spacetimes and Kerr/CFT Correspondence
- Bubbles on Manifolds with a U(1) Isometry
- Early-time cosmological solutions in Einstein-scalar-Gauss-Bonnet theory
- Exact exponential solutions in Einstein-Gauss-Bonnet flat anisotropic cosmology
- Some exact solutions with torsion in 5-D Einstein-Gauss-Bonnet gravity
- Gauss-Bonnet lagrangian G ln G and cosmological exact solutions
- Gravitoelectromagnetism and other decompositions of the Riemann tensor
- (Anti-)Instantons and the Atiyah-Hitchin Manifold
- Hydrodynamics with conserved current via AdS/CFT correspondence in the Maxwell-Gauss-Bonnet gravity
- Semi Localized Brane Intersections in SUGRA
- Bianchi Type IX M-Branes
- New Reducible Membrane Solutions in D=11 Supergravity
- The first order hydrodynamics via AdS/CFT correspondence in the Gauss-Bonnet gravity
- M5-brane geometries, T-duality and fluxes
- Atiyah-Hitchin M-Branes
- Quantum strings in AdS5 x S5 and AdS/CFT duality
- Cosmological Solutions on Atiyah-Hitchin Space in Five Dimensional Einstein-Maxwell-Chern-Simons Theory
- Cosmological solutions in five dimensional Einstein-Maxwell-dilaton theory
- Exact convoluted solutions in higher-dimensional Einstein-Maxwell theory
- A new approach to exact solutions construction in scalar cosmology with a Gauss-Bonnet term
- Atiyah-Hitchin in Five Dimensional Einstein-Maxwell Theory
- Gauged BPS baby Skyrmions with quantised magnetic flux
- Cosmological Solutions in Five Dimensional Minimal Supergravity
- A New Class of Exact Solutions in Einstein-Maxwell-dilaton Theory