A first-order formalism for timelike and spacelike brane solutions

Abstract

We show that the construction of BPS-type equations for non-extremal black holes due to Miller et. al. can be extended to branes of arbitrary dimension and, more importantly, to time-dependent solutions. We call these first-order equations fake- or pseudo-BPS equations in light of the formalism that has been developed for domain wall and cosmological solutions of gravity coupled to scalar fields. We present the fake/pseudo-BPS equations for all stationary branes (timelike branes) and all time-dependent branes (spacelike branes) of an Einstein-dilaton-p-form system in arbitrary dimensions.

17 pages, v2: references added, occasional typos corrected

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Cited by in corpus (28)

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• Non-extremal black holes of N=2, d=4 supergravity
• Nonextremal black holes in gauged supergravity and the real formulation of special geometry
• Black holes in supergravity and integrability
• Fake Superpotential for Large and Small Extremal Black Holes
• Non-extremal Black Holes, Harmonic Functions, and Attractor Equations
• Black holes and black strings of N=2, d=5 supergravity in the H-FGK formalism
• Fake supersymmetry versus Hamilton-Jacobi
• The FGK formalism for black p-branes in d dimensions
• Braneworld solutions from scalar field in bimetric theory
• First-order formalism for thick branes in $f(T,\mathcal{T})$ gravity
• Localization of abelian gauge fields with Stueckelberg-like geometrical coupling on $f(T,B)$-thick brane
• Black holes as generalised Toda molecules
• Einstein Branes
• Black holes and equivariant charge vectors in N=2,d=4 supergravity
• Non-extremal black hole solutions from the c-map
• Comments on fake supersymmetry
• Black hole superpotential as a unifying entropy function and BPS thermodynamics
• Black Holes and Fourfolds
• Non-extremal black holes from the generalised r-map
• First order flow equations for nonextremal black holes in AdS (super)gravity
• Higher order curvature corrections and holographic renormalization group flow
• Cosmological solutions from 4D $N=4$ matter-coupled supergravity
• Brane structure from a scalar field in general covariant Horava-Lifshitz gravity
• Black holes, first-order flow equations and geodesics on symmetric spaces