Junction conditions and thin-shells in perfect-fluid $f\left(R,T\right)$ gravity

Abstract

In this work we derive the junction conditions for the matching between two spacetimes at a separation hypersurface in the perfect-fluid version of $f\left(R,T\right)$ gravity, not only in the usual geometrical representation but also in a dynamically equivalent scalar-tensor representation. We start with the general case in which a thin-shell separates the two spacetimes at the separation hypersurface, for which the general junction conditions are deduced, and the particular case for smooth matching is considered when the stress-energy tensor of the thin-shell vanishes. The set of junction conditions is similar to the one previously obtained for $f\left(R\right)$ gravity but features also constraints in the continuity of the trace of the stress-energy tensor $T_{ab}$ and its partial derivatives, which force the thin-shell to satisfy the equation of state of radiation $\sigma =2p_t$. As a consequence, a necessary and sufficient condition for spherically symmetric thin-shells to satisfy all the energy conditions is the positivity of its energy density $\sigma$. For specific forms of the function $f\left(R,T\right)$, the continuity of $R$ and $T$ ceases to be mandatory but a gravitational double-layer arises at the separation hypersurface. The Martinez thin-shell system and a thin-shell surrounding a central black-hole are provided as examples of application.

arXiv comment21 pages

References in corpus (49)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity and Cosmology
• f(R) theories
• f(R,T) gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Chameleon Fields: Awaiting Surprises for Tests of Gravity in Space
• Chameleon Cosmology
• Testing the nature of dark compact objects: a status report
• Traversable wormholes: Some simple examples
• Traversable wormholes from surgically modified Schwarzschild spacetimes
• Reconstruction of f(R, T) gravity describing matter dominated and accelerated phases
• Generalised Israel Junction Conditions for a Gauss-Bonnet Brane World
• Reconstruction of some cosmological models in f(R,T) gravity
• Dark matter as a geometric effect in f(R) gravity
• Modelling wormholes in $f(R,T)$ gravity
• Testing some f(R,T) gravity models from energy conditions
• Reconstructing $f(R,T)$ gravity from holographic dark energy
• Dark Matter From f(R,T) Gravity
• Study on anisotropic strange stars in $f(R,T)$ gravity: An embedding approach under simplest linear functional of matter-geometry coupling
• Junction Conditions in f(R) Theories of Gravity
• Junction conditions for F(R)-gravity and their consequences
• Generalized virial theorem in f(R) gravity
• Stellar equilibrium configurations of white dwarfs in the $f(R,T)$ gravity
• Strange stars in $f(R,\mathcal{T})$ gravity
• Generalized hybrid metric-Palatini gravity
• Palatini formulation of $f(R,T)$ gravity theory, and its cosmological implications
• Cosmological inviability of $f(R,T)$ gravity
• Wormholes in generalized hybrid metric-Palatini gravity obeying the matter null energy condition everywhere
• Cosmological solutions in generalized hybrid metric-Palatini gravity
• Thin-shell wormholes with charge in F(R) gravity
• Junction conditions in Palatini $f(R)$ gravity
• Limits on $f(R,T)$ Gravity from Earth's Atmosphere
• Traversable Wormholes in $f(R,T)$ Gravity
• Fundamental thermodynamical equation of a self-gravitating system
• Singular Hypersurfaces in Scalar-Tensor Theories of Gravity
• Structure and stability of traversable thin-shell wormholes in Palatini $f(\mathcal{R})$ gravity
• Existence and stability of relativistic fluid spheres supported by thin shells
• Scalar modes in extended hybrid metric-Palatini gravity: weak field phenomenology
• Thick brane structures in generalized hybrid metric-Palatini gravity
• On the junction conditions in $f(R)$-gravity with torsion
• Entropy of an extremal electrically charged thin shell and the extremal black hole
• Sudden singularities in generalized hybrid metric-Palatini cosmologies
• Two worlds collide: Interacting shells in AdS spacetime and chaos
• Entropy of extremal black holes: horizon limits through charged thin shells, a unified approach
• Unified approach to the entropy of an extremal rotating BTZ black hole: Thin shells and horizon limits
• Thermodynamics of extremal rotating thin shells in an extremal BTZ spacetime and the extremal black hole entropy

Cited by in corpus (38)

• Area-law versus Rényi and Tsallis black hole entropies
• Neutron stars in $f(R,T)$ gravity with conserved energy-momentum tensor: Hydrostatic equilibrium and asteroseismology
• Cosmology in scalar-tensor $f(R,T)$ gravity
• Observational Constraints and Cosmological Implications of Scalar-Tensor $f(R,T)$ Gravity
• Double gravitational layer traversable wormholes in hybrid metric-Palatini gravity
• Confront $f(R,T)=\mathcal{R}+\beta T$ modified gravity with the massive pulsar PSR J0740+6620
• Dynamics of a parametrized dark energy model in $f(R,T)$ gravity
• Non-exotic traversable wormholes in $f\left(R,T_{ab}{T}^{ab}\right)$ gravity
• Impact of compactlike and asymmetric configurations of thick branes on the scalar-tensor representation of $f\left(R,T\right)$ gravity
• Junction conditions for generalized hybrid metric-Palatini gravity with applications
• Extended Tolman III and VII solutions in $f(\mathcal{R},T)$ gravity: Models for neutron stars and supermassive stars
• Cosmological constraints on dynamical dark energy model in $F(Q)$ gravity
• Dynamical reconstruction of the $\Lambda$CDM model in scalar-tensor $f(R,T)$ gravity
• Energy-Momentum Squared Gravity: A Brief Overview
• Weak-field regime of the generalized hybrid metric-Palatini gravity
• Junction conditions of Palatini $f\left(\mathcal{R},T\right)$ gravity
• Traversable wormholes with double layer thin shells in quadratic gravity
• Inflation in f(R,T) gravity with Double-Well potential
• Dynamical reconstruction of the $\Lambda$CDM model in the scalar-tensor representation of $f\left(Q,T\right)$ gravity
• Junction conditions in gravity theories with extra scalar degrees of freedom
• Irreversible Geometrothermodynamics of Open Systems in Modified Gravity
• Inflationary Cosmology in a non-minimal $f(R,T)$ gravity theory using a $RT$ mixing term
• Cosmological effects on $f(\bar{R},\bar{T})$ gravity through a non-standard theory
• Collapsing scenarios of K-essence generalized Vaidya spacetime under $f(\bar{R},\bar{T})$ gravity
• Multi-kink braneworld configurations in the scalar-tensor representation of $f(R,T)$ gravity
• Multiway Junction Conditions: Booklets and Webs
• Junction conditions in bi-scalar Poincaré Gauge gravity
• NEC violation in $f(\bar{R},\bar{T})$ gravity in the context of a non-canonical theory via modified Raychaudhuri equation
• Junction conditions for LRS spacetimes in the $1+1+2$ covariant formalism
• Scalar-tensor representation to $f(R,T)-$brane with Gauss-Bonnet gravity
• Charged thin shells in unimodular gravity
• Exact Analytical Taub-NUT like Solution in f(T) Gravity
• Effects of Cuscuton dynamics on braneworld configurations in the scalar-tensor representation of $f\left(R,T\right)$ gravity
• Sculpting Spacetime: Thin Shells in Wormhole Physics
• New Lorentzian Taub-NUT and Euclidean Eguchi-Hanson Solutions in $f(R)$ gravity
• Thick branes in the scalar-tensor representation of $f(R,T)$ gravity
• Cosmological sudden singularities in $f(R,T)$ gravity
• Late time cosmological solutions in $f(R,T)$ gravity in a viscous Universe