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Schwarzschild-like black hole with a topological defect in bumblebee gravity

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arxiv 2012.02611 v2 pith:S65TD4SG submitted 2020-12-04 gr-qc hep-th

classification gr-qchep-th
keywords blackholefieldglobalmonopoleanglebumblebeedeflection
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In this paper, we derive an exact black hole spacetime metric in the Einstein-Hilbert-Bumblebee (EHB) gravity around global monopole field. We study the horizon, temperature, and the photon sphere of the black hole. Using the null geodesics equation, we obtain the shadow cast by the Schwarzschild-like black hole with a topological defect in bumblebee gravity. Interestingly, the radius of shadow of the black hole increases with increase in the global monopole parameter. We also visualize the shadows and energy emission rates for different values of parameters. Moreover, using the Gauss-Bonnet theorem, we calculate the deflection angle in weak field limits and we discuss the possibility of testing the effect of global monopole field and bumblebee field, on a weak deflection angle. We find that the global monopole parameter and also Lorentz symmetry breaking parameter has an increasing effect on the deflection angle.

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Cited by 5 Pith papers

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

  1. A no-go theorem in bumblebee vector-tensor cosmology

    hep-th 2025-09 conditional novelty 6.0 of 10

    Bumblebee gravity with non-minimal couplings is healthy only under the degeneracy σ=-ξ/2, which fixes the potential and yields a stealth de Sitter solution with scalar sound speed squared ≈1/6.

  2. Boson Stars in Bumblebee Gravity and Their Gravitational Waveforms from Extreme-Mass-Ratio Inspirals

    gr-qc 2025-12 conditional novelty 5.0 of 10

    In bumblebee gravity, the Lorentz-violating parameter ℓ makes mini-boson stars more compact for positive ℓ and produces LISA-detectable, sustained EMRI waveforms for penetrating orbits.

  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. Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity

    gr-qc 2025-07 conditional novelty 5.0 of 10

    In Einstein-Bumblebee Kerr-like spacetimes, spherical photon orbits are governed by a sixth-order polynomial whose roots and critical inclination angle depend on the Lorentz-violation parameter.

  5. Charged black holes in Kalb-Ramond gravity: Weak Deflection Angle, Shadow cast, Quasinormal Modes and Neutrino annihilation

    gr-qc 2025-05 reject novelty 4.0 of 10

    The Kalb-Ramond black hole phenomenology is mostly an extension of known results, and its shadow formula is internally inconsistent, invalidating the EHT-based constraints.

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