Black Hole in the Expanding Universe from Intersecting Branes

Abstract

We study physical properties and global structures of a time-dependent, spherically symmetric solution obtained via the dimensional reduction of intersecting M-branes. We find that the spacetime describes a maximally charged black hole which asymptotically tends to the Friedmann-Lemaître-Robertson-Walker (FLRW) universe filled by a stiff matter. The metric solves the field equations of Einstein-Maxwell-dilaton system, in which four Abelian gauge fields couple to the dilation with different coupling constants. The spacetime satisfies the dominant energy condition and is characterized by two parameters, $Q$ and $\tau$, related to the Maxwell charge and the relative ratio of black-hole horizon radii, respectively. In spite of the nontrivial time-dependence of the metric, it turns out that the black hole event horizon is a Killing horizon. This unexpected symmetry may be ascribed to the fact that the 11-dimensional (11D) brane configurations are supersymmetric in the static limit. Finally, combining with laws of trapping horizon, we discuss the thermodynamic properties of the black hole. It is shown that the horizon possesses a nonvanishing temperature, contrary to the extremal Reissner-Nordstrøm (RN) solution.

30 pages, 10 figures, 1 table; v2: minor modifications, typos corrected, to appear in PRD

References in corpus (6)

• Near-horizon symmetries of extremal black holes
• Generalized Misner-Sharp quasi-local mass in Einstein-Gauss-Bonnet gravity
• Black Hole Evaporation in an Expanding Universe
• Dynamical black holes with symmetry in Einstein-Gauss-Bonnet gravity
• Dynamics of intersecting brane systems -- Classification and their applications --
• On the `Stationary Implies Axisymmetric' Theorem for Extremal Black Holes in Higher Dimensions

Cited by in corpus (29)

• McVittie's Legacy: Black Holes in an Expanding Universe
• Black Holes in an Expanding Universe
• Black Hole in the Expanding Universe with Arbitrary Power-Law Expansion
• Cosmological black holes from self-gravitating fields
• Dynamical p-branes with a cosmological constant
• Supersymmetric Intersecting Branes on the Waves
• Dark sector impact on gravitational collapse of an electrically charged scalar field
• Cosmological intersecting brane solutions
• Black hole and cosmos with multiple horizons and multiple singularities in vector-tensor theories
• Cosmological rotating black holes in five-dimensional fake supergravity
• Cosmology in p-brane systems
• Static spacetimes haunted by a phantom scalar field III: asymptotically (A)dS solutions
• Warped de Sitter compactifications
• Dynamics of partially localized brane systems
• Dynamical brane with angles : Collision of the universes
• Cosmological brane systems in warped spacetime
• Charged Black Holes in a Five-dimensional Kaluza-Klein Universe
• Dynamical F-strings intersecting D2-branes in type IIA supergravity
• Black holes in an expanding universe and supersymmetry
• Can an evolving Universe host a static event horizon?
• Colliding $p$-branes in the dynamical intersecting brane system
• Constraints on warped compactifications
• Charged black strings in a five-dimensional Kasner universe
• Violation of cosmic censorship in dynamical $p$-brane systems
• Dynamical angled brane
• Warped de Sitter compactifications in the scalar-tensor theory
• Supersymmetry in a dynamical M-brane background
• Spherically symmetric solutions in a FRW background
• Warped spherical compactifications in the gravity theory