Junction conditions in Palatini $f(R)$ gravity

Abstract

We work out the junction conditions for $f(R)$ gravity formulated in metric-affine (Palatini) spaces using a tensor distributional approach. These conditions are needed for building consistent models of gravitating bodies with an interior and exterior regions matched at some hypersurface. Some of these conditions depart from the standard Darmois-Israel ones of General Relativity and from their metric $f(R)$ counterparts. In particular, we find that the trace of the stress-energy momentum tensor in the bulk must be continuous across the matching hypersurface, though its normal derivative need not to. We illustrate the relevance of these conditions by considering the properties of stellar surfaces in polytropic models, showing that the range of equations of state with potentially pathological effects is shifted beyond the domain of physical interest. This confirms, in particular, that neutron stars and white dwarfs can be safely modelled within the Palatini $f(R)$ framework.

arXiv comment7 pages; some additions in conclusions and references' list. Version accepted for publication on Class. Quant. Grav

References in corpus (38)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• f(R) Theories Of Gravity
• Modified Gravity and Cosmology
• f(R) theories
• 4D Gravity on a Brane in 5D Minkowski Space
• Extended Theories of Gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Testing General Relativity with Present and Future Astrophysical Observations
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Echoes of ECOs: gravitational-wave signatures of exotic compact objects and of quantum corrections at the horizon scale
• Beyond $\Lambda$CDM: Problems, solutions, and the road ahead
• Post-Newtonian constraints on f(R) cosmologies in metric formalism
• Post-Newtonian constraints on f(R) cosmologies in Palatini formalism
• Generalised Israel Junction Conditions for a Gauss-Bonnet Brane World
• Eddington's theory of gravity and its progeny
• A systematic approach to generalisations of General Relativity and their cosmological implications
• Born-Infeld inspired modifications of gravity
• Generic spherically symmetric dynamic thin-shell traversable wormholes in standard general relativity
• Geometry of General Hypersurfaces in Spacetime: Junction Conditions
• Junction Conditions in f(R) Theories of Gravity
• Junction conditions for F(R)-gravity and their consequences
• Israel conditions for the Gauss-Bonnet theory and the Friedmann equation on the brane universe
• Surface singularities in Eddington-inspired Born-Infeld gravity
• Wormholes and nonsingular space-times in Palatini $f(R)$ gravity
• A no-go theorem for polytropic spheres in Palatini f(R) gravity
• Inflation with $R^2$ term in the Palatini formalism
• Mapping Ricci-based theories of gravity into general relativity
• Dynamic thin-shell black-bounce traversable wormholes
• Curvature singularities, tidal forces and the viability of Palatini f(R) gravity
• Re-examination of Polytropic Spheres in Palatini f(R) Gravity
• Junction conditions in extended Teleparallel gravities
• Minimum main sequence mass in quadratic Palatini $f(\mathcal{R})$ gravity
• Junction conditions in quadratic gravity: thin shells and double layers
• Boundary Terms and Junction Conditions for Generalized Scalar-Tensor Theories
• Polytropic spheres in Palatini f(R) gravity
• On the junction conditions in $f(R)$-gravity with torsion
• The final state of gravitational collapse in Eddington-inspired Born-Infeld theory

Cited by in corpus (36)

• Area-law versus Rényi and Tsallis black hole entropies
• Junction conditions and thin-shells in perfect-fluid $f\left(R,T\right)$ gravity
• Double shadows of reflection-asymmetric wormholes supported by positive energy thin-shells
• New light rings from multiple critical curves as observational signatures of black hole mimickers
• Parity Violating Metric-Affine Gravity Theories
• Structure and stability of traversable thin-shell wormholes in Palatini $f(\mathcal{R})$ gravity
• Early evolutionary tracks of low-mass stellar objects in modified gravity
• Thermodynamic topology of topological black hole in $F(R)$-ModMax gravity's rainbow
• Strange stars in $f(\mathcal{R})$ gravity Palatini formalism and gravitational wave echoes from them
• Cooling process of brown dwarfs in Palatini f(R) gravity
• General slow-roll inflation in $f(R)$ gravity under the Palatini approach
• Fermi gas and modified gravity
• Role of Structure Scalars on the evolution of Compact Objects in Palatini $f(R)$ Gravity
• White dwarf stars in modified gravity
• Boson stars in Palatini $f(\mathcal{R})$ gravity
• Asymmetric wormholes in Palatini $f(\mathcal{R})$ gravity: Energy conditions, absorption and quasibound states
• Stable Charged Radiating Systems Associated with Tilted Observers
• Junction conditions for generalized hybrid metric-Palatini gravity with applications
• Is gravitational collapse possible in $f(R)$ gravity?
• Energy-Momentum Squared Gravity: A Brief Overview
• Birth of baby universes from gravitational collapse in a modified-gravity scenario
• Junction conditions of Palatini $f\left(\mathcal{R},T\right)$ gravity
• 3+1 decomposition in modified gravities within the Palatini formalism and some applications
• Junction conditions in gravity theories with extra scalar degrees of freedom
• Non-homogeneous exoplanets in metric-affine gravity
• Some Recent Results on Ricci-Based Gravity Theories
• Matching tetrads in f(T) gravity
• Compact star in noninteger power model of $f(R)$ gravity
• Constraining fundamental parameters in modified gravity using Gaia-DR2 massive white dwarf observation
• On the visibility of singularities in general relativity and modified gravity theories
• Junction conditions in bi-scalar Poincaré Gauge gravity
• Junction conditions in infinite derivative gravity
• Junction conditions for LRS spacetimes in the $1+1+2$ covariant formalism
• Accelerating electrically charged ModMax black hole solutions in $F(R)$ gravity
• Pre-main sequence evolution of low-mass stars in Eddington-inspired Born-Infeld gravity
• Propagation and emission of gravitational waves in the weak-field limit within the Palatini formalism