Modified black hole solution with a background Kalb-Ramond field

Abstract

We study the gravitation effects on a static and spherically symmetric spacetime due to the vacuum expectation value (VEV) of a Kalb-Ramond field. The Kalb-Ramond VEV is a background tensor field which produces a local Lorentz symmetry breaking (LSB) of spacetime. Considering a non-minimal coupling between the Kalb-Ramond (VEV) and the Ricci tensor, we obtain an exact parameter-dependent power-law modified black hole. For a particular choice of the LSB parameter, the Lorentz violation produces a solution similar to the Reissner-Nordstrom, despite the absence of charge. The near-horizon geometry is modified by including a new inner horizon and shifting the Schwarzschild horizon. Asymptotically, the usual Minkowski spacetime with a background tensor field is recovered. The vacuum configurations are studied considering the energy conditions and the Lorentz violating source properties. By means of the mercury perihelion test, an upper bound to the local Lorentz violation (LV) is obtained, and its corresponding effects on the black hole temperature is investigated.

9 pages. Published version

References in corpus (29)

• Quantum Gravity at a Lifshitz Point
• Gravity, Lorentz Violation, and the Standard Model
• Lorentz invariance with an invariant energy scale
• Noncommutative Field Theory and Lorentz Violation
• Particle production and complex path analysis
• Quantum gravity corrections to neutrino propagation
• Hawking Radiation as Tunneling for Extremal and Rotating Black Holes
• Spontaneous Lorentz Violation, Nambu-Goldstone Modes, and Gravity
• Tunnelling, Temperature and Taub-NUT Black Holes
• Very Special Relativity
• Loop quantum gravity and light propagation
• Hawking temperature in the tunneling picture
• Exact traversable wormhole solution in bumblebee gravity
• An exact Schwarzschild-like solution in a bumblebee gravity model
• Relativistic effects and dark matter in the Solar system from observations of planets and spacecraft
• Lorentz violation with an antisymmetric tensor
• Hawking temperature from tunnelling formalism
• Constraints on Dark Matter in the Solar System
• Exact Kerr-like solution and its shadow in a gravity model with spontaneous Lorentz symmetry breaking
• GUP Modified Hawking Radiation in Bumblebee Gravity
• Finite-distance gravitational deflection of massive particles by the Kerr-like black hole in the bumblebee gravity model
• Thermodynamics of a class of regular black holes with a generalized uncertainty principle
• Quasi-normal modes of bumblebee wormhole
• Cosmological implications of Bumblebee vector models
• Radiative corrections in bumblebee electrodynamics
• Phase Transitions in Higher Derivative Gravity
• Antisymmetric tensor propagator with spontaneous Lorentz violation
• Dirac equation in very special relativity for hydrogen atom
• Non-singular AdS-dS transitions in a landscape scenario

Cited by in corpus (54)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Black holes with a cosmological constant in bumblebee gravity
• Static and spherically symmetric black holes in gravity with a background Kalb-Ramond field
• Electrically charged black holes in gravity with a background Kalb-Ramond field
• Static neutral black holes in Kalb-Ramond gravity
• Quasinormal modes and greybody factor of a Lorentz-violating black hole
• Exploring antisymmetric tensor effects on black hole shadows and quasinormal frequencies
• Charged spherically symmetric and slowly rotating charged black hole solutions in bumblebee gravity
• Gravitational lensing of a Schwarzschild-like black hole in Kalb-Ramond gravity
• Geodesics structure and deflection angle of electrically charged black holes in gravity with a background Kalb-Ramond field
• Quasinormal Modes and Bounding Greybody Factors of GUP-corrected Black Holes in Kalb-Ramond Gravity
• Traversable wormhole solution with a background Kalb-Ramond field
• Shadow of slowly rotating Kalb-Ramond black holes
• Spontaneous Lorentz symmetry-breaking constraints in Kalb-Ramond gravity
• Exact solution for a traversable wormhole in a curvature-coupled antisymmetric background field
• Bianchi type I cosmology with a Kalb-Ramond background field
• Particle creation and evaporation in Kalb-Ramond gravity
• The impact of an antisymmetric tensor on charged black holes: evaporation process, geodesics, deflection angle, scattering effects and quasinormal modes
• Notes on thermodynamics of Schwarzschild-like bumblebee black hole
• Lorentz Symmetry Violation in Charged Black Hole Thermodynamics and Gravitational Lensing: Effects of the Kalb-Ramond Field
• Phase structure of the de Sitter Spacetime with KR field based on the Lyapunov exponent
• Periodical orbits and waveforms with spontaneous Lorentz symmetry-breaking in Kalb-Ramond gravity
• Global monopole in a Ricci-coupled Kalb-Ramond bumblebee gravity
• Rotating Black Hole in Kalb-Ramond Gravity: Constraining Parameters by Comparison with EHT Observations of Sgr A* and M87*
• Influence of a Kalb-Ramond black hole on neutrino behavior
• Black hole with global monopole charge in self-interacting Kalb-Ramond field
• Antisymmetric tensor influence on charged black hole lensing phenomena and time delay
• Kasner cosmology in bumblebee gravity
• Exact black hole solutions in gravity with a background Kalb-Ramond field
• Influence of plasma on the optical appearance of spinning black hole in Kalb-Ramond gravity and its Existence around M87* and Sgr A*
• Compact stars admitting Finch-Skea symmetry in the presence of various matter fields
• Einstein-Bumblebee-Dilaton black hole solution
• Stars and quark stars in bumblebee gravity
• Particle motion and thermal effects around a Kalb-Ramond black hole
• Optical Appearance and Shadow of Kalb-Ramond Black Hole: Effects of Plasma and Accretion Models
• Free-falling test particles in a charged Kalb-Ramond black hole: gravitational Doppler effect and tidal forces
• Charged black holes in Kalb-Ramond gravity: Weak Deflection Angle, Shadow cast, Quasinormal Modes and Neutrino annihilation
• Weak Gravitational Lensing in Ricci-Coupled Kalb-Ramond Bumblebee Gravity: Global Monopole and Axion-Plasmon Medium Effects
• On the self-consistency of compact objects in Lorentz-violating gravity theories
• One-loop radiative corrections in bumblebee-Stueckelberg model
• Multimodal signatures of asymptotic (A)dS Kalb-Ramond black holes: Constraints through the shadow, weak deflection angle, and topological photon spheres
• Black Holes in Lorentz-Violating Gravity: Thermodynamics, Geometry, and Particle Dynamics
• Dual equivalence between self-dual and topologically massive $B\wedge F$ models coupled to matter in $3+1$ dimensions
• Charged Black Holes in the Kalb-Ramond Background with Lorentz Violation: Null Geodesics and Optical Appearance of a Thin Accretion Disk
• On the Kalb-Ramond modified Lorentz violating hairy black holes and Thorne's hoop conjecture
• Accretion dynamics in black holes with spontaneous Lorentz symmetry breaking
• Probing Kalb-Ramond field with extreme mass ratio inspirals
• Dualization between supersymmetric self-dual and topologically massive models coupled to matter in four-dimensional superspace
• Vacuum polarization and induced Maxwell and Kalb-Ramond effective action in very special relativity
• Damour-Solodukhin Wormhole as a Black Hole Mimicker: The Role of Observers' Location
• Extended thermodynamics and $P-v$ Criticality of Kalb-Ramond black hole coupled with nonlinear electrodynamics
• LIV effects on the quantum stochastic motion in an acoustic FRW-geometry
• Detecting Lorentz-violation induced by a tensor field with S-star's motion around Sgr A*
• Non-minimal matter sector couplings in Lorentz-violating gravity: Self-consistent traversable wormholes and quasinormal modes