Horndeski meets McVittie: A scalar field theory for accretion onto cosmological black holes
arXiv:1408.5538 · doi:10.1103/PhysRevD.90.084012
Abstract
We show that the generalized McVittie spacetime, which represents a black hole with time-dependent mass in an expanding universe, is an exact solution of a subclass of the Horndeski family of actions. The heat-flow term responsible for the energy transfer between the black hole and the cosmological background is generated by the higher-order kinetic gravity braiding term, which generalizes the cuscuton action that yields McVittie with constant mass as a solution. Finally, we show that this generalization can be understood in terms of a duality realized by a disformal transformation, connecting the cuscuton field theory to an extension of the Horndeski action which does not propagate any scalar degrees of freedom. Our finding opens a novel window into studies of non-trivial interactions between dark energy/modified gravity theories and astrophysical black holes.
10 pages, 2 figures
References in corpus (14)
- Imperfect Dark Energy from Kinetic Gravity Braiding
- 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
- Einstein gravity as a 3D conformally invariant theory
- Cuscuton Cosmology: Dark Energy meets Modified Gravity
- Black Holes in Bi-scalar Extensions of Horndeski Theories
- Cuscuton and low energy limit of Horava-Lifshitz gravity
- Does the mass of a black hole decrease due to the accretion of phantom energy
- Generalized Galileon Duality
- How the expansion of the universe determines the causal structure of McVittie spacetimes
- What is the fate of a black hole embedded in an expanding universe?
- Stellar Black Holes and the Origin of Cosmic Acceleration
- Realistic fluids as source for dynamically accreting black holes in a cosmological background
Cited by in corpus (8)
- First-order thermodynamics of Horndeski gravity
- Cosmological black holes and white holes with time-dependent mass
- Self Tuning Scalar Fields in Spherically Symmetric Spacetimes
- More on the first-order thermodynamics of scalar-tensor and Horndeski gravity
- Maximum force and cosmic censorship
- Local properties and global structure of McVittie spacetimes with non-flat FLRW backgrounds
- Testing gravity with the cosmic microwave background: constraints on modified gravity with two tensorial degrees of freedom
- Generalized McVittie geometry in Horndeski gravity with matter