Pith. sign in

REVIEW 10 cited by

An exact stationary axisymmetric vacuum solution within a metric--affine bumblebee gravity

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2402.13014 v2 pith:B2PRORBT submitted 2024-02-20 gr-qc

A. A. Araújo Filho , J. R. Nascimento , A. Yu. Petrov , P. J. Porfírio This is my paper
classification gr-qc
keywords solutionaxisymmetricbreakingbumblebeelorentzmetric--affinesymmetryvacuum
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

Within the framework of the spontaneous Lorentz symmetry breaking, we consider a metric--affine generalization of the gravitational sector of the Standard--Model Extension (SME), including the Lorentz--violating (LV) coefficients $u$ and $s^{\mu\nu}$. In this model, we derive the modified Einstein field equations in order to obtain a new axisymmetric vacuum spinning solution for a particular bumblebee's profile. Such a solution has the remarkable property of incorporating the effects of Lorentz symmetry breaking (LSB) through the LV dimensionless parameter $X=\xi b^2$, as the LSB is turned off, $X=0$, we recover the well--established result, the Kerr solution, as expected. Afterwards, we calculate the geodesics, the radial acceleration and thermodynamic quantities for this new metric. We also estimate an upper bound for $X$ by using astrophysical data of the advance Mercury's perihelion.

Discussion (0). Sign in to comment.

Forward citations

Cited by 10 Pith papers

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

  1. Gravitational-Bumblebee perturbations: Exact decoupling and isospectrality

    gr-qc 2026-05 unverdicted novelty 7.0 of 10

    Bumblebee gravity perturbations decouple exactly into gravitational and vector sectors, with gravitational modes dynamically immune to Lorentz violation and odd-even parities strictly isospectral.

  2. Full Classification of Static Spherical Vacuum Solutions to Bumblebee Gravity with General VEVs

    gr-qc 2025-11 unverdicted novelty 7.0 of 10

    Full classification of static spherical vacuum solutions in bumblebee gravity with general VEVs reveals degeneracies at ξ=κ/2 and permits exact Schwarzschild solutions with non-zero matter.

  3. 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.

  4. Asymptotically-flat Black holes in Bumblebee gravity: Exact solutions and Thermodynamics

    gr-qc 2026-06 unverdicted novelty 6.0 of 10

    Exact solutions for asymptotically flat black holes in bumblebee gravity with temporal bumblebee field, analytic Y charge and X potential, and discovery of new cases including unbounded charge-mass ratio and wormhole ...

  5. Lorentz violating quadratic gravity

    hep-th 2026-03 reject novelty 6.0 of 10

    Bumblebee–quadratic gravity needs new Lorentz-violating counterterms at one loop, but the displayed computation has a gauge-parameter inconsistency and the classical Schwarzschild/de Sitter solutions are the robust part.

  6. Nonrelativistic effective potential of the bumblebee model

    hep-th 2025-12 conditional novelty 5.0 of 10

    The leading-order nonrelativistic potential in the bumblebee model is a Coulomb potential with charge rescaled by (1 - (mβξ/2)^2), producing a hydrogen level shift of order m^3β^2ξ^2.

  7. 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...

  8. Constraining Lorentz symmetry breaking in bumblebee gravity with extreme mass-ratio inspirals

    gr-qc 2026-05 unverdicted novelty 4.0 of 10

    LISA can constrain the Lorentz symmetry breaking parameter ell in bumblebee gravity to O(10^{-4}) uncertainty via EMRI waveform analysis in the AAK framework.

  9. Constraining Lorentz symmetry breaking in bumblebee gravity with extreme mass-ratio inspirals

    gr-qc 2026-05 unverdicted novelty 4.0 of 10

    EMRI waveforms in bumblebee gravity allow LISA to constrain the Lorentz symmetry breaking parameter ell at the level of O(10^{-4}).

  10. Constraining Lorentz symmetry breaking in bumblebee gravity with extreme mass-ratio inspirals

    gr-qc 2026-05 unverdicted novelty 4.0 of 10

    Extreme mass-ratio inspirals can constrain the Lorentz symmetry breaking parameter ℓ in bumblebee gravity to O(10^{-4}) uncertainty with LISA.

Pith tools