Junction conditions in extended Teleparallel gravities

Abstract

In the context of extended Teleparallel gravity theories, we address the issue of junction conditions required to guarantee the correct matching of different regions of spacetime. In the absence of shells/branes, these conditions turn out to be more restrictive than their counterparts in General Relativity as in other extended theories of gravity. In fact, the general junction conditions on the matching hypersurfaces depend on the underlying theory and a new condition on the induced tetrads in order to avoid delta-like distributions in the field equations. This result imposes strict consequences on the viability of standard solutions such as the Einstein-Straus-like construction. We find that the continuity of the scalar torsion is required in order to recover the usual General Relativity results.

17 pages, analysis extended, published version in JCAP

References in corpus (64)

• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Disappearing cosmological constant in f(R) gravity
• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• f(T) Gravity and local Lorentz invariance
• On Born-Infeld Gravity in Weitzenbock spacetime
• Matter Bounce Cosmology with the f(T) Gravity
• Equation of state for dark energy in $f(T)$ gravity
• Accelerating universe from F(T) gravity
• Cosmological reconstruction of realistic modified F(R) gravities
• Observational constraints on $f(T)$ theory
• Black holes, cosmological solutions, future singularities, and their thermodynamical properties in modified gravity theories
• f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
• Reconstruction of $f(T)$ gravity: Rip cosmology, finite-time future singularities and thermodynamics
• Wormhole geometries in modified teleparralel gravity and the energy conditions
• Generalizations of teleparallel gravity and local Lorentz symmetry
• Good and bad tetrads in f(T) gravity
• Solar system constraints on f(T) gravity
• $f(T)$ models with phantom divide line crossing
• Non trivial frames for f(T) theories of gravity and beyond
• Existence of relativistic stars in f(T) gravity
• Dark Matter from R^2-gravity
• Geometry of General Hypersurfaces in Spacetime: Junction Conditions
• Spherically symmetric static spacetimes in vacuum f(T) gravity
• Conformal symmetry and accelerating cosmology in teleparallel gravity
• Static Solutions with Spherical Symmetry in f(T) Theories
• The evolution of density perturbations in f(R) gravity
• Junction Conditions in f(R) Theories of Gravity
• Junction conditions for F(R)-gravity and their consequences
• Generalized second law of thermodynamics in f(T) gravity
• Static Anisotropic Solutions in f(T) Theory
• Anisotropic Universe Models in f(T) Gravity
• The Newtonian limit at intermediate energies
• No further gravitational wave modes in $F(T)$ gravity
• New Static Solutions in f(T) Theory
• Attractor Solutions in f(T) Cosmology
• Riemann-Einstein Structure from Volume and Gauge Symmetry
• Covariant gauge-invariant perturbations in multifluid f(R) gravity
• Stability of a non-minimally conformally coupled scalar field in F(T) cosmology
• Future singularities and Teleparallelism in Loop Quantum Cosmology
• Power-law cosmic expansion in f(R) gravity models
• f(T) modified teleparallel gravity models as an alternative for holographic and new agegraphic dark energy models
• Effective $F(T)$ gravity from the higher-dimensional Kaluza-Klein and Randall-Sundrum theories
• Primordial Fluctuations within Teleparallelism
• Cosmographic reconstruction of $f(\mathcal{T})$ cosmology
• Weyl-Cartan-Weitzenböck gravity as a generalization of teleparallel gravity
• Anisotropic fluid for a set of non-diagonal tetrads in f(T) gravity
• The evolution of cosmological gravitational waves in f(R) gravity
• Birkhoff's theorem in the f(T) gravity
• Weyl-Cartan-Weitzenböck gravity through Lagrange multiplier
• Large Scale Structure Constraints for a Class of f(R) Theories of Gravity
• LCDM Model in f(T) Gravity: Reconstruction, Thermodynamics and Stability
• On the absence of the usual weak-field limit, and the impossibility of embedding some known solutions for isolated masses in cosmologies with f(R) dark energy
• On the non-attractive character of gravity in f(R) theories
• Holographic f(T)-gravity model with power-law entropy correction
• Cosmological frames for theories with absolute parallelism
• Extended Birkhoff's Theorem in the f(T) Gravity
• A detailed analysis of structure growth in $f(R)$ theories of gravity
• The Raychaudhuri equation in homogeneous cosmologies
• Generalized Teleparallel Gravity Via Some Scalar Field Dark Energy Models
• QCD ghost f(T)-gravity model
• On tidal forces in f(R) theories of gravity
• Review on exact and perturbative deformations of the Einstein-Straus model: uniqueness and rigidity results

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• Teleparallel Theories of Gravity: Illuminating a Fully Invariant Approach
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• Model-independent limits and constraints on extended theories of gravity from cosmic reconstruction techniques
• Generalized teleparallel cosmology and initial singularity crossing
• Constraining $f(T,\mathcal{T})$ gravity models using type Ia supernovae
• Conformally symmetric traversable wormholes in modified teleparallel gravity
• Optimising growth of structure constraints on modified gravity
• Analytic rotating black hole solutions in $N$-dimensional $f(T)$ gravity
• Scalar perturbations in $f(T)$ gravity using the $1+3$ covariant approach
• Cosmological reconstructed solutions in extended teleparallel gravity theories with a teleparallel Gauss-Bonnet term
• Non-exotic traversable wormholes in $f\left(R,T_{ab}{T}^{ab}\right)$ gravity
• On spherically symmetric vacuum solutions and horizons in covariant $f(T)$ gravity theory
• Energy-Momentum Squared Gravity: A Brief Overview
• Junction conditions of Palatini $f\left(\mathcal{R},T\right)$ gravity
• $f(T)$ cosmology: From Pseudo-Bang to Pseudo-Rip
• Charged Anti-de Sitter BTZ black holes in Maxwell-$f(T)$ gravity
• Singularities and n-dimensional black holes in torsion theories
• 3+1 decomposition in modified gravities within the Palatini formalism and some applications
• Junction conditions in gravity theories with extra scalar degrees of freedom
• Some Recent Results on Ricci-Based Gravity Theories
• On The Temporal Evolution of Particle Production in $f(T)$ Gravity
• Matching tetrads in f(T) gravity
• Junction conditions in bi-scalar Poincaré Gauge gravity
• Multiway Junction Conditions: Booklets and Webs
• Junction conditions in infinite derivative gravity
• Junction conditions for LRS spacetimes in the $1+1+2$ covariant formalism
• Focusing conditions for extended teleparallel gravity theories
• Chronology protection in $f(T)$ gravity: the case of Gott's pair of moving cosmic strings
• White Dwarf Envelops and Temperature Corrections in Exponential $f(T)$ Gravity