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Modified black hole solution with a background Kalb-Ramond field

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arxiv 1911.10296 v2 pith:AONWXSMW submitted 2019-11-23 gr-qc hep-th

L.A. Lessa , J.E.G. Silva , R.V. Maluf , C.A.S. Almeida This is my paper · ORCID
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keywords fieldkalb-ramondlorentzbackgroundblackholemodifiedspacetime
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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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Signatures of Lorentz violation in bright ring for Sgr A* images by radiation ineffective accretion flows

    astro-ph.HE 2026-08 conditional novelty 6.0 of 10

    For a rotating Lorentz-violating black hole, increasing the LV parameter shrinks and broadens Sgr A*'s image ring, and EHT data bound the parameter over a spin-dependent range.

  2. Charged Black Holes with a Lorentz--Violating Kalb--Ramond Background

    gr-qc 2026-08 conditional novelty 5.0 of 10

    Exact charged black hole solutions in a Lorentz-violating Kalb-Ramond gravity with both nonminimal curvature couplings, together with their thermodynamic and topological phase structure.

  3. Exact Black Hole Solutions in Bumblebee Gravity with Lightlike or Spacelike VEVS

    gr-qc 2025-10 conditional novelty 5.0 of 10

    New exact Schwarzschild-like, (A)dS-like, and charged black holes in bumblebee gravity with a two-component vector VEV keep Lorentz-violating corrections even when the VEV is lightlike, with Wald and first-law entropi...

  4. Branch structure and nonextensive thermodynamics of Kalb-Ramond-ModMax black holes: observational signatures

    gr-qc 2026-01 reject novelty 4.0 of 10

    A multi-channel phenomenological study of Einstein-Kalb-Ramond-ModMax black holes whose Tsallis internal energy does not reduce to the black-hole mass in the standard-entropy limit.

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