McVittie solution in f(T) gravity

Abstract

We show that McVittie geometry, which describes a black hole embedded in a FLRW universe, not only solves Einstein equations but also remains as a non-deformable solution of f(T) gravity. This search for GR solutions that survive in f(T) gravity is facilitated by a null tetrad approach. We also show that flat FLRW geometry is a consistent solution of f(T) dynamical equations not only for $T=-6H^2$ but also for $T=0$, which could be a manifestation of the additional degrees of freedom involved in f(T) theories.

9 pages. Minor improvements. Published version

References in corpus (53)

• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R) theories
• Extended Theories of Gravity
• Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• Modern tests of Lorentz invariance
• Gravity with a dynamical preferred frame
• Membranes at Quantum Criticality
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• The teleparallel equivalent of general relativity
• f(T) Gravity and local Lorentz invariance
• On Born-Infeld Gravity in Weitzenbock spacetime
• Tests of Lorentz invariance: a 2013 update
• Equation of state for dark energy in $f(T)$ gravity
• Lorentz violation at high energy: concepts, phenomena and astrophysical constraints
• Generalizations of teleparallel gravity and local Lorentz symmetry
• Good and bad tetrads in f(T) gravity
• Torsion Gravity: a Reappraisal
• Large-scale Structure in f(T) Gravity
• Horava-Lifshitz gravity: a status report
• $f(T)$ models with phantom divide line crossing
• Non trivial frames for f(T) theories of gravity and beyond
• The dynamical behavior of $f(T)$ theory
• Degrees of freedom of $f(T)$ gravity
• Growth factor in f(T) gravity
• Observational information for f(T) theories and Dark Torsion
• What Do We Know About Lorentz Invariance?
• Spherically symmetric static spacetimes in vacuum f(T) gravity
• Conformal transformation in $f(T)$ theories
• Noether Symmetry Approach in $f(T,B)$ teleparallel cosmology
• McVittie's Legacy: Black Holes in an Expanding Universe
• A point mass in an isotropic universe. Existence, uniqueness and basic properties
• Cosmological Perturbation in f(T) Gravity Revisited
• $f(T)$ Theories and Varying Fine Structure Constant
• Improved limit on quantum-spacetime modifications of Lorentz symmetry from observations of gamma-ray blazars
• The stability of the Einstein static state in $f(T)$ gravity
• Remnant group of local Lorentz transformations in f(T) theories
• Conformal transformations in modified teleparallel theories of gravity revisited
• A point mass in an isotropic universe: III. The region $R\le 2m$
• Modified teleparallel theories of gravity -- Gauss-Bonnet and trace extensions
• Hamiltonian formulation of teleparallel gravity
• Teleparallel Equivalent of Lovelock Gravity
• Kerr geometry in f(T) gravity
• Born-Infeld Determinantal gravity and the taming of the conical singularity in 3-dimensional spacetime
• f(R) and f(T) theories of modified gravity
• Kaluza-Klein theory for teleparallel gravity
• Compact extra dimensions in cosmologies with f(T) structure
• An analysis of Born-Infeld determinantal gravity in Weitzenbock spacetime
• Primordial brusque bounce in Born-Infeld determinantal gravity
• Peculiar Velocities of Nonlinear Structure: Voids in McVittie Spacetime

Cited by in corpus (31)

• Teleparallel Gravity: From Theory to Cosmology
• Teleparallel Theories of Gravity: Illuminating a Fully Invariant Approach
• Covariant formulation of scalar-torsion gravity
• Cosmological perturbations in modified teleparallel gravity models
• Hamiltonian formalism for f(T) gravity
• Rotating AdS black holes in Maxwell-$f(T)$ gravity
• Black Holes in $f(T,B)$ Gravity: Exact and Perturbed Solutions
• Solar System Tests in Modified Teleparallel Gravity
• Foundational issues in f(T) gravity theory
• New rotating black holes in non-linear Maxwell $f(\mathcal{R})$ gravity
• Quest for the extra degree of freedom in f(T) gravity
• Bianchi identities in f(T) gravity: paving the way to confrontation with astrophysics
• The effective field theory approach to the strong coupling issue in $f(T)$ gravity
• Spherical inhomogeneous solutions of Einstein and scalar-tensor gravity: a map of the land
• Pseudoinvariance and the extra degree of freedom in f(T) gravity
• Searching for dynamical black holes in various theories of gravity
• On Conserved Quantities for the Schwarzschild Black Hole in Teleparallel Gravity
• On Kasner solution in Bianchi I $f(T)$ cosmology
• Flat connection for rotating vacuum spacetimes in extended teleparallel gravity theories
• Perturbations in f(T) cosmology and the spin connection
• Big Bang Nucleosynthesis constraints on $f(T,T_G)$ gravity
• Accelerating Cosmological Models in $f(T,B)$ Gravitational Theory
• Disformal transformations in modified teleparallel gravity
• The geometrical meaning of the Weitzenböck connection
• Irregular universe in the Nieh-Yan modified teleparallel gravity
• Generalized McVittie geometry in Horndeski gravity with matter
• Degrees of freedom and Hamiltonian formalism for $f(T)$ gravity
• Degrees of Freedom in modified Teleparallel Gravity
• Exact cosmological black hole solutions in Scalar Tensor Vector Gravity
• Background-dependent and classical correspondences between $f(Q)$ and $f(T)$ gravity
• The general expression for $f(T)$ in a charged cylindrical spacetime with diverse dimensions