Spontaneous Lorentz symmetry-breaking constraints in Kalb-Ramond gravity

Abstract

In this work, we study timelike and lightlike geodesics in Kalb-Ramond (KR) gravity around a black hole with the goal of constraining the Lorentz symmetry-breaking parameter $l$. The analysis involves studying the precession of the S2 star periastron orbiting Sgr A* and geodesic precession around the Earth. The ratio of precession frequencies for General Relativity (GR) and KR gravity is computed, with Event Horizon Telescope (EHT) results providing a parameter range for the spontaneous symmetry-breaking of $-0.185022\le l\le 0.060938$. Utilizing the geodesic precession frequency from the Gravity Probe B (GP-B), the $l$ parameter is further constrained to $-6.30714\times 10^{-12}\le l\le 3.90708\times 10^{-12}$, which is consistent with the Schwarzschild limits. Moreover, for timelike geodesics, the innermost circular orbit (ICO) and innermost stable circular orbit (ISCO) are determined and analyzed to illustrate the impact of the symmetry breaking term. Zoom-whirl obstructions are compared with the Schwarzschild solution. Lower and upper limits of the photon sphere for lightlike geodesics are established to demonstrate the influence of KR gravity on the photon sphere. Additionally, the shadow radius is determined for two observers, one situated at a finite distance from the KR black hole, and the other located at an infinite distance, to constrain the symmetry-breaking parameter $l$, with comparisons made to EHT results. The bounds for $l$ derived from constraints on the photon sphere radius for lightlike geodesics yield $-0.0700225\le l\le 0.189785$ using EHT data. The findings of this paper align with experimental results in the $l\to 0$ limit.

11 pages, 4 figures. V2: 12 pages, 4 figures. Discussion and references added; matches published version

References in corpus (56)

• Quantum Gravity at a Lifshitz Point
• Noncommutative Field Theory
• Background Independent Quantum Gravity: A Status Report
• CPT Violation and the Standard Model
• Quantum Field Theory on Noncommutative Spaces
• Gravity, Lorentz Violation, and the Standard Model
• Massive Gravity
• Gravity Probe B: Final Results of a Space Experiment to Test General Relativity
• Geodesic stability, Lyapunov exponents and quasinormal modes
• Noncommutative Field Theory and Lorentz Violation
• Nonstandard optics from quantum spacetime
• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Ultraviolet modifications of dispersion relations in effective field theory
• f(T) Gravity and local Lorentz invariance
• Relativistic redshift of the star S0-2 orbiting the Galactic center supermassive black hole
• The orbit of the star S2 around SgrA* from VLT and Keck data
• A review of quasi-periodic oscillations from black hole X-ray binaries: observation and theory
• Zoom & Whirl: Eccentric equatorial orbits around spinning black holes and their evolution under gravitational radiation reaction
• Generalizations of teleparallel gravity and local Lorentz symmetry
• Expectation Values, Lorentz Invariance, and CPT in the Open Bosonic String
• Exact traversable wormhole solution in bumblebee gravity
• An exact Schwarzschild-like solution in a bumblebee gravity model
• Analytical construction of a nonperturbative vacuum for the open bosonic string
• Gravitational deflection of light and shadow cast by rotating Kalb-Ramond black holes
• Degrees of freedom of $f(T)$ gravity
• Nonminimal torsion-matter coupling extension of f(T) gravity
• Lorentz violation with an antisymmetric tensor
• Conformal symmetry and accelerating cosmology in teleparallel gravity
• Black holes with a cosmological constant in bumblebee gravity
• Quantum-Gravitational Diffusion and Stochastic Fluctuations in the Velocity of Light
• Static Anisotropic Solutions in f(T) Theory
• Anisotropic Universe Models in f(T) Gravity
• Noether symmetries and analytical solutions in f(T)-cosmology: A complete study
• Constraints and Stability in Vector Theories with Spontaneous Lorentz Violation
• Exact Kerr-like solution and its shadow in a gravity model with spontaneous Lorentz symmetry breaking
• Zoom-Whirl Orbits in Black Hole Binaries
• Strong gravitational lensing --- A probe for extra dimensions and Kalb-Ramond field
• Modified black hole solution with a background Kalb-Ramond field
• Static and spherically symmetric black holes in gravity with a background Kalb-Ramond field
• Upper bound on the radii of black-hole photonspheres
• Bumblebee gravity with a Kerr-Sen-like solution and its Shadow
• Scalar field effects on the orbit of S2 star
• Static spherisymmetric solutions, gravitational lensing and perihelion precession in Einstein--Kalb--Ramond theory
• Generalized Noether symmetry in f(T) gravity
• Dynamical Lorentz symmetry breaking in a tensor bumblebee model
• Gravitational lensing of a Schwarzschild-like black hole in Kalb-Ramond gravity
• Inflation with an antisymmetric tensor field
• Gravitational waves effects in a Lorentz-violating scenario
• Black-Bounce in $f(T)$ Gravity
• Lower bound on the radii of black-hole photonspheres
• Quantum aspects of antisymmetric tensor field with spontaneous Lorentz violation
• Spherical Accretion of Matter by Charged Black Holes on f(T) Gravity
• Constraints from Solar System tests on a covariant loop quantum black hole
• The first attempts to measure light deflection by the Sun
• Geodetic precession and shadow of quantum extended black holes
• Generalized Teleparallel Theory

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• Dark matter distributions around Schwarzschild-like black holes in bumblebee and Kalb-Ramond models
• Boson Stars in Bumblebee Gravity and Their Gravitational Waveforms from Extreme-Mass-Ratio Inspirals
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