Cosmological black holes and white holes with time-dependent mass

Abstract

We consider the causal structure of generalized uncharged McVittie spacetimes with increasing central mass $m(t)$ and positive Hubble factor $H(t)$. Under physically reasonable conditions, namely, a big bang singularity in the past, a positive cosmological constant and an upper limit to the central mass, we prove that the patch of the spacetime described by the cosmological time and areal radius coordinates is always geodesically incomplete, which implies the presence of event horizons in the spacetime. We also show that, depending on the asymptotic behavior of the $m$ and $H$ functions, the generalized McVittie spacetime can have a single black hole, a black-hole/white-hole pair or, differently from classic fixed-mass McVittie, a single white hole. A simple criterion is given to distinguish the different causal structures.

arXiv comment12 pages, 5 figures

References in corpus (28)

• Nonlinear Fluid Dynamics from Gravity
• A Covariant Entropy Conjecture
• General Laws of Black-Hole Dynamics
• Unified first law of black-hole dynamics and relativistic thermodynamics
• Black hole hair in generalized scalar-tensor gravity
• Exploring gravitational theories beyond Horndeski
• Black hole hair in generalized scalar-tensor gravity: An explicit example
• Cuscuton: A Causal Field Theory with an Infinite Speed of Sound
• Cosmological expansion and local physics
• McVittie's Legacy: Black Holes in an Expanding Universe
• Cuscuton Cosmology: Dark Energy meets Modified Gravity
• Spherically symmetric spacetimes with a trapped surface
• Physical observability of horizons
• More on McVittie's Legacy: A Schwarzschild - de Sitter black and white hole embedded in an asymptotically $\Lambda$CDM cosmology
• Towards thermodynamics of universal horizons in Einstein-æther theory
• Making sense of the bizarre behaviour of horizons in the McVittie spacetime
• Trapped surfaces
• How the expansion of the universe determines the causal structure of McVittie spacetimes
• Quasinormal modes for the Vaidya metric
• Asymptotically FRW black holes
• The charged McVittie spacetime
• Time dependent black holes and scalar hair
• Realistic fluids as source for dynamically accreting black holes in a cosmological background
• The spherical symmetry Black hole collapse in expanding universe
• Horndeski meets McVittie: A scalar field theory for accretion onto cosmological black holes
• Cosmological black holes from self-gravitating fields
• Do we know the mass of a black hole? Mass of some cosmological black hole models
• Constructing black hole entropy from gravitational collapse

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