Einstein-Gauss-Bonnet black strings at large $\alpha$

Abstract

The simplest black string in higher-dimensional general relativity (GR) is perhaps the direct product of a Schwarzschild spacetime and a flat spatial direction. However, it is known that the Einstein-Gauss-Bonnet theory does not allow such a trivial and simple solution. We propose a novel analytic technique, which assumes that the Gauss-Bonnet (GB) term becomes dominant over the Einstein-Hilbert (EH) term. Assuming the dimensionless coupling constant $\alpha$ normalized by the horizon scale is large enough, we find that the spacetime is separated into the GB region and GR region, which are matched via the transition region where the GB and EH terms are comparable. Using this large $\alpha$ approximation, we indeed construct new analytic solutions of black strings, from which we analytically compute various physical quantities of black strings at large $\alpha$. Moreover, we confirm that all these analytic results are consistent with the numerical calculation. We also discuss the possible extension to general Einstein-Lovelock black holes.

arXiv comment24 pages, 17 figures; v2: minor modifications, references added, 25 pages

References in corpus (38)

• Microscopic Origin of the Bekenstein-Hawking Entropy
• Black Hole Entropy is Noether Charge
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• Black Strings and p-Branes are Unstable
• Black Holes in Higher Dimensions
• Black Holes and Sub-millimeter Dimensions
• The Instability of Charged Black Strings and p-Branes
• Black Hole Scan
• The large D limit of General Relativity
• The Lovelock Black Holes
• Well-posed formulation of Lovelock and Horndeski theories
• (In)stability of D-dimensional black holes in Gauss-Bonnet theory
• On the local well-posedness of Lovelock and Horndeski theories
• Effective theory of Black Holes in the 1/D expansion
• The Lovelock gravity in the critical spacetime dimension
• Causality and Hyperbolicity of Lovelock Theories
• General Definition of Gravitational Tension
• On black strings & branes in Lovelock gravity
• The Large D Limit of Einstein's Equations
• Simple compactifications and Black p-branes in Gauss-Bonnet and Lovelock Theories
• Five-dimensional black strings in Einstein-Gauss-Bonnet gravity
• Einstein-Gauss-Bonnet Black Strings at Large $D$
• Exact black strings and p-branes in general relativity
• Shock Formation in Lovelock Theories
• $D=5$ Rotating Black Holes in Einstein-Gauss-Bonnet Gravity: Mass and Angular Momentum in Extremality
• Stacking a 4D geometry into an Einstein-Gauss-Bonnet bulk
• The Riemann-Lovelock Curvature Tensor
• Quasitopological electromagnetism: Reissner-Nordström black strings in Einstein and Lovelock gravities
• Homogeneous Black Strings in Einstein-Gauss-Bonnet with Horndeski hair and beyond
• Einstein-Gauss-Bonnet black strings
• Einstein-Gauss-Bonnet Black Rings at Large $D$
• Lovelock black p-branes with fluxes
• Spinning black strings in five dimensional Einstein--Gauss-Bonnet gravity
• General Relativity from Einstein-Gauss-Bonnet gravity
• Einstein-Gauss-Bonnet black strings at large $\alpha$
• The fate of black branes in Einstein-Gauss-Bonnet gravity
• Stable bound orbits around static Einstein-Gauss-Bonnet black holes
• Quantum Aspects of Black Objects in String Theory

Cited by in corpus (5)

• Thermodynamics of static and stationary black holes in Einstein-Gauss-Bonnet gravity with dark matter
• Einstein-Gauss-Bonnet black strings at large $\alpha$
• $R^2$ corrections to the black string instability and the boosted black string
• Metric fluctuations in higher-dimensional black holes
• Phase and stability of black strings in Einstein-Gauss-Bonnet theory at large D