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.
arXiv comment10 pages, 2 figures
References in corpus (35)
- Generalized G-inflation: Inflation with the most general second-order field equations
- Kerr black holes with scalar hair
- Imperfect Dark Energy from Kinetic Gravity Braiding
- Transforming gravity: from derivative couplings to matter to second-order scalar-tensor theories beyond the Horndeski Lagrangian
- Black hole hair in generalized scalar-tensor gravity
- The Best Inflationary Models After Planck
- Cuscuton: A Causal Field Theory with an Infinite Speed of Sound
- Disformal invariance of second order tensor-scalar theories: framing the Horndeski action
- Asymptotically locally AdS and flat black holes in Horndeski theory
- The Imperfect Fluid behind Kinetic Gravity Braiding
- Cosmological expansion and local physics
- McVittie's Legacy: Black Holes in an Expanding Universe
- Einstein gravity as a 3D conformally invariant theory
- Exact black hole solutions in shift symmetric scalar-tensor theories
- Black holes with surrounding matter in scalar-tensor theories
- Inflation and primordial non-Gaussianities of "generalized Galileons"
- DBI Galileons in the Einstein Frame: Local Gravity and Cosmology
- A point mass in an isotropic universe. Existence, uniqueness and basic properties
- 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
- More on McVittie's Legacy: A Schwarzschild - de Sitter black and white hole embedded in an asymptotically CDM cosmology
- A point mass in an isotropic universe: III. The region
- On the generalization of McVittie's model for an inhomogeneity in a cosmological spacetime
- Lifshitz black holes with a time-dependent scalar field in Horndeski theory
- Generalized Galileon Duality
- Stellar Oscillations in Modified Gravity
- Making sense of the bizarre behaviour of horizons in the McVittie spacetime
- 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?
- Backreaction of accreting matter onto a black hole in the Eddington-Finkelstein coordinates
- Realistic fluids as source for dynamically accreting black holes in a cosmological background
- Stellar Black Holes and the Origin of Cosmic Acceleration
- Cosmological black holes from self-gravitating fields
Cited by in corpus (19)
- Gravity in the Era of Equality: Towards solutions to the Hubble problem without fine-tuned initial conditions
- Extended Cuscuton: Formulation
- Turnaround radius in an accelerated universe with quasi-local mass
- Hamiltonian analysis of the cuscuton
- First-order thermodynamics of Horndeski gravity
- Spherical inhomogeneous solutions of Einstein and scalar-tensor gravity: a map of the land
- Extended Cuscuton as Dark Energy
- Cosmological black holes and white holes with time-dependent mass
- Searching for dynamical black holes in various theories of gravity
- Theory of Cosmological Perturbations with Cuscuton
- Evolving Black Holes in Inflation
- Self Tuning Scalar Fields in Spherically Symmetric Spacetimes
- Modified hoop conjecture in expanding spacetimes and primordial black hole production in FRW universe
- 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
- Simultaneous baldness and cosmic baldness and Kottler spacetime