What is a singular black hole beyond General Relativity?

Abstract

Exploring the characterization of singular black hole spacetimes, we study the relation between energy density, curvature invariants, and geodesic completeness using a quadratic $f(R)$ gravity theory coupled to an anisotropic fluid. Working in a metric-affine approach, our models and solutions represent minimal extensions of General Relativity (GR) in the sense that they rapidly recover the usual Reissner-Nordström solution from near the inner horizon outwards. The anisotropic fluid helps modify only the innermost geometry. Depending on the values and signs of two parameters on the gravitational and matter sectors, a breakdown of the correlations between the finiteness/divergence of the energy density, the behavior of curvature invariants, and the (in)completeness of geodesics is obtained. We find a variety of configurations with and without wormholes, a case with a de Sitter interior, solutions that mimic non-linear models of electrodynamics coupled to GR, and configurations with up to four horizons. Our results raise questions regarding what infinities, if any, a quantum version of these theories should regularize.

17 double column pages, 10 figures, revtex4-1 style

References in corpus (25)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• The teleparallel equivalent of general relativity
• Echoes of ECOs: gravitational-wave signatures of exotic compact objects and of quantum corrections at the horizon scale
• Noncommutative geometry inspired charged black holes
• Higher-dimensional black holes with a conformally invariant Maxwell source
• Higher-dimensional charged black holes solutions with a nonlinear electrodynamics source
• The 1965 Penrose singularity theorem
• The Lovelock Black Holes
• Lovelock black holes with a nonlinear Maxwell field
• Regular black holes in quadratic gravity
• Regular black holes: Electrically charged solutions, Reissner-Nordström outside a de Sitter core
• Topological Black Holes in Lovelock-Born-Infeld Gravity
• Graphene wormholes: A condensed matter illustration of Dirac fermions in curved space
• Lorentzian wormholes in Eddington-inspired Born-Infeld gravity
• Dilaton black holes coupled to nonlinear electrodynamic field
• Conserved charges for black holes in Einstein-Gauss-Bonnet gravity coupled to nonlinear electrodynamics in AdS space
• Higher dimensional dilaton black holes in the presence of exponential nonlinear electrodynamics
• Anisotropic Fluid and Bianchi Type III Model in f(R) Gravity
• Scalar-tensor black holes coupled to Born-Infeld nonlinear electrodynamics
• Curved Spacetimes and Curved Graphene: a status report of the Weyl-symmetry approach
• Crystal clear lessons on the microstructure of space-time and modified gravity
• Anisotropic fluid dynamics in the early stage of relativistic heavy-ion collisions
• Asymptotically anomalous black hole configurations in gravitating nonlinear electrodynamics
• Geodesically complete BTZ-type solutions of $2+1$ Born-Infeld gravity

Cited by in corpus (41)

• Born-Infeld inspired modifications of gravity
• Phenomenological aspects of black holes beyond general relativity
• Geodesically complete black holes
• Shadows and photon rings of regular black holes and geonic horizonless compact objects
• Mapping Ricci-based theories of gravity into general relativity
• Global Monopole in Palatini f(R) gravity
• Crossing SNe Ia and BAO observational constraints with local ones in hybrid metric-Palatini gravity
• Nonsingular black holes, wormholes, and de Sitter cores from anisotropic fluids
• Regular Stringy Black Holes?
• Minimum main sequence mass in quadratic Palatini $f(\mathcal{R})$ gravity
• Non-polynomial Lagrangian approach to Regular Black Holes
• Palatini $f(R)$ gravity in the solar system: post-Newtonian equations of motion and complete PPN parameters
• On stability of a neutron star system in Palatini gravity
• Nonsingular black holes in nonlinear gravity coupled to Euler-Heisenberg electrodynamics
• Testing logarithmic corrections on $R^2$-exponential gravity by observational data
• Polytropic stars in Palatini gravity
• Cosmological reconstructed solutions in extended teleparallel gravity theories with a teleparallel Gauss-Bonnet term
• Geometric inequivalence of metric and Palatini formulations of General Relativity
• Strange stars in $f(\mathcal{R})$ gravity Palatini formalism and gravitational wave echoes from them
• Effective interactions in Ricci-Based Gravity models below the non-metricity scale
• Emergence of dynamical dark energy from polynomial $f(R)$ theory in Palatini formalism
• Scalar geons in Born-Infeld gravity
• Exploring Nonlinear Electrodynamics Theories: Shadows of Regular Black Holes and Horizonless Ultra-Compact Objects
• Boson stars in Palatini $f(\mathcal{R})$ gravity
• Accelerated observers and the notion of singular spacetime
• Parameterized non-relativistic limit of stellar structure equations in Ricci-based gravity theories
• Multicenter solutions in Eddington-inspired Born-Infeld gravity
• The Palatini star: exact solutions of the modified Lane-Emden equation
• On effective models of regular black holes inspired by higher-derivative and nonlocal gravity
• Scale-invariance at the core of quantum black holes
• Polynomial $f(R)$ Palatini cosmology -- dynamical system approach
• From fundamental physics to tests with compact objects in metric-affine theories of gravity
• Thin-shell wormholes in (2+1)-dimensional F(R) theories
• A non-trivial connection for the metric-affine Gauss-Bonnet theory in $D=4$
• Geodesic completeness of effective null geodesics in regular space-times with non-linear electrodynamics
• Shadows and optical appearance of black bounces illuminated by a thin accretion disk
• Determinantal Born-Infeld Coupling of Gravity and Electromagnetism
• Dimensional aspects of Lovelock-Lanczos gravity
• Extremal cosmological black holes in Horndeski gravity and the anti-evaporation regime
• Spacetime singularities and a novel formulation of indeterminism
• Geodesics near a curvature singularity of stationary and axially symmetric space-times