Lovelock Branes

Abstract

We study the problem of finding brane-like solutions to Lovelock gravity, adopting a general approach to establish conditions that a lower dimensional base metric must satisfy in order that a solution to a given Lovelock theory can be constructed in one higher dimension. We find that for Lovelock theories with generic values of the coupling constants, the Lovelock tensors (higher curvature generalizations of the Einstein tensor) of the base metric must all be proportional to the metric. Hence, allowed base metrics form a subclass of Einstein metrics. This subclass includes so-called `universal metrics', which have been previously investigated as solutions to quantum-corrected field equations. For specially tuned values of the Lovelock couplings, we find that the Lovelock tensors of the base metric need to satisfy fewer constraints. For example, for Lovelock theories with a unique vacuum there is only a single such constraint, a case previously identified in the literature, and brane solutions can be straightforwardly constructed.

References in corpus (16)

• Black Strings and p-Branes are Unstable
• Gauss-Bonnet Black Holes in AdS Spaces
• Viscosity Bound Violation in Higher Derivative Gravity
• Brane-World Black Holes
• Black Hole Scan
• General Gauss-Bonnet brane cosmology
• Topological black holes in the dimensionally continued gravity
• The Lovelock Black Holes
• Higher order gravity theories and their black hole solutions
• Gauss-Bonnet Holographic Superconductors
• Metrics With Vanishing Quantum Corrections
• On black strings & branes in Lovelock gravity
• Simple compactifications and Black p-branes in Gauss-Bonnet and Lovelock Theories
• Five-dimensional black strings in Einstein-Gauss-Bonnet gravity
• Stacking a 4D geometry into an Einstein-Gauss-Bonnet bulk
• Lovelock black holes with non-constant curvature horizon

Cited by in corpus (9)

• Static and rotating black strings in dynamical Chern-Simons modified gravity
• Gravitational resonances in mimetic thick branes
• Quasitopological electromagnetism: Reissner-Nordström black strings in Einstein and Lovelock gravities
• Homogeneous Black Strings in Einstein-Gauss-Bonnet with Horndeski hair and beyond
• Charged black strings and black branes in Lovelock theories
• Lovelock black p-branes with fluxes
• General Relativity from Einstein-Gauss-Bonnet gravity
• Cosmic acceleration in Lovelock quantum gravity
• Klein-Gordon and Schrödinger solutions in Lovelock quantum gravity