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Black holes with a cosmological constant in bumblebee gravity

10 Pith papers cite this work. Polarity classification is still indexing.

10 Pith papers citing it
abstract

In this work, we present black hole solutions with a cosmological constant in bumblebee gravity, which provides a mechanism for the Lorentz symmetry violation by assuming a nonzero vacuum expectation value for the bumblebee field. From the gravitational point of view, such solutions are spherically symmetric black holes with an effective cosmological constant and are supported by an anisotropic energy-momentum tensor, conceived of as the manifestation of the bumblebee field in the spacetime geometry. Then we calculate the shadow angular radius for the proposed black hole solution with a positive effective cosmological constant. In particular, our results are the very first relation between the bumblebee field and the shadow angular size.

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gr-qc 9 hep-th 1

years

2026 9 2025 1

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representative citing papers

New Exact Vacuum Solutions in Extended Bumblebee Gravity

gr-qc · 2026-04-10 · unverdicted · novelty 6.0

Ten new exact vacuum solutions, including black holes with zero entropy, arise in extended bumblebee gravity because varying the action and imposing the vector VEV constraint do not commute.

Complex bumblebee model

hep-th · 2026-03-27 · accept · novelty 6.0

A complex bumblebee model is formulated with gauge and longitudinal couplings; one-loop RG functions are derived and the leading-log effective potential indicates possible dynamical Lorentz violation.

Lorentz-Violating (Regular) Black Holes in Einstein Gravity

gr-qc · 2026-05-26 · unverdicted · novelty 5.0

Constructs Lorentz-violating regular black holes in Einstein gravity using a minimally coupled nonlinear electrodynamics dark sector that enforces regular cores and conical Lorentz-violating asymptotics.

Dynamic Aspects of Bumblebee Gravity: Post-Newtonian Approach

gr-qc · 2026-05-17 · unverdicted · novelty 5.0

Bumblebee gravity is self-consistent in PPN up to 1.5PN order only for λ = −ξ/2, producing non-zero α1, α2, a logarithmic U_B potential, and a pulsar-timing bound |ℓ| ≲ 1.6×10^{-9}.

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