Exact Solutions in Five-Dimensional Axi-dilaton Gravity with Euler-Poincare Term

Abstract

We examine the effective field equations that are obtained from the axi-dilaton gravity action with a second order Euler-Poincare term and a cosmological constant in all higher dimensions. We solve these equations for five-dimensional spacetimes possessing homogeneity and isotropy in their three-dimensional subspaces. For a number of interesting special cases we show that the solutions fall into two main classes: The first class consists of time-dependent solutions with spherical or hyperboloidal symmetry which require certain fine-tuning relations between the coupling constants of the model and the cosmological constant. Solutions in the second class are locally static and prove the validity of Birkhoff's staticity theorem in the axi-dilaton gravity. We also give a special class of static solutions, among them the well-known black hole solutions in which the usual electric charge is superseded by an axion charge.

New formulas and references added

References in corpus (31)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Hierarchy Problem and New Dimensions at a Millimeter
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• Heterotic and Type I String Dynamics from Eleven Dimensions
• The Einstein Equations on the 3-Brane World
• High Energy Colliders as Black Hole Factories: The End of Short Distance Physics
• Strong Coupling Expansion Of Calabi-Yau Compactification
• Gauss-Bonnet Black Holes in AdS Spaces
• Brane cosmological evolution in a bulk with cosmological constant
• Brane-world gravity
• The Universe as a Domain Wall
• Black holes on the brane
• Dilaton Gravity in Two Dimensions
• Dynamics of Anti-de Sitter Domain Walls
• Brane-world cosmology
• General brane cosmologies and their global spacetime structure
• General Gauss-Bonnet brane cosmology
• Orientifolds of K3 and Calabi-Yau Manifolds with Intersecting D-branes
• Charged Rotating Black Holes on a 3-Brane
• Anti-de Sitter Black Hole Thermodynamics in Higher Derivative Gravity and New Confining-Deconfining Phases in dual CFT
• Static wormhole solution for higher-dimensional gravity in vacuum
• Charged Brane-World Black Holes
• Covariant Gravitational Equations on Brane World with Gauss-Bonnet term
• Braneworld Cosmology in (Anti)--de Sitter Einstein--Gauss--Bonnet--Maxwell Gravity
• Gravitational Field Equations on and off a 3-Brane World
• String inspired braneworld cosmology
• Classical and Quantum Gravity in 1+1 Dimensions, Part II: The Universal Coverings
• `Mass without mass' from thin shells in Gauss-Bonnet gravity
• Extra dimensions in CERN LHC via mini-black holes: effective Kerr-Newman brane-world effects
• Gravitational field equations in a braneworld with Euler-Poincare term

Cited by in corpus (11)

• A new cubic theory of gravity in five dimensions: Black hole, Birkhoff's theorem and C-function
• The Lovelock Black Holes
• Exact solutions for the Einstein-Gauss-Bonnet theory in five dimensions: Black holes, wormholes and spacetime horns
• Gravitational solitons and $C^0$ vacuum metrics in five-dimensional Lovelock gravity
• Static solutions with nontrivial boundaries for the Einstein-Gauss-Bonnet theory in vacuum
• Gauss-Bonnet Cosmology with Induced Gravity and Non-Minimally Coupled Scalar Field on the Brane
• A Braneworld Dark Energy Model with Induced Gravity and the Gauss-Bonnet Effect
• Modified GBIG Scenario as an Alternative for Dark Energy
• String-Inspired Chern-Simons Modified Gravity In 4-Dimensions
• Five-Dimensional Black Hole String Backgrounds and Brane Universe Acceleration
• Universe Acceleration in Brane World Models