On the self-consistency of compact objects in Lorentz-violating gravity theories
arXiv:2505.01374 · doi:10.1103/83hg-j4v8
Abstract
Self-consistent solutions in Lorentz-violating gravity theories require the simultaneous satisfaction of: (i) the corresponding Einstein field equations, (ii) the matter field equations, and (iii) the Lorentz-violating field equations. In vacuum states, the dynamics of Lorentz-violating tensor fields may reduce to geometric constraints, potentially precluding entire classes of compact objects. These constraints are crucial for ensuring physical consistency in Lorentz-violating frameworks, as they eliminate metric families incompatible with the anisotropies induced by spontaneous Lorentz symmetry breaking. We investigate the criteria governing the emergence of these geometric constraints and analyze their consequences. Our analysis establishes a consistency framework for evaluating compact objects in these theories, demonstrating that several previously reported solutions in Lorentz-violating gravity models are physically inadmissible.
Accepted: Physical Review D
References in corpus (51)
- Quantum Gravity at a Lifshitz Point
- Testing General Relativity with Present and Future Astrophysical Observations
- Data Tables for Lorentz and CPT Violation
- Gravity, Lorentz Violation, and the Standard Model
- Noncommutative Field Theory and Lorentz Violation
- CPT, Strings, and Meson Factories
- Quantum gravity corrections to neutrino propagation
- Spontaneous Lorentz Violation, Nambu-Goldstone Modes, and Gravity
- Loop quantum gravity and light propagation
- Exact traversable wormhole solution in bumblebee gravity
- Black holes in Einstein-aether and Horava-Lifshitz gravity
- An exact Schwarzschild-like solution in a bumblebee gravity model
- Horava-Lifshitz gravity: a status report
- Spontaneous Lorentz and Diffeomorphism Violation, Massive Modes, and Gravity
- What Do We Know About Lorentz Invariance?
- Lorentz violation with an antisymmetric tensor
- Black holes with a cosmological constant in bumblebee gravity
- Quantum Gravity in 2+1 Dimensions: The Case of a Closed Universe
- Black Holes in Einstein-Aether Theory
- Lorentz Violation: Motivation and new constraints
- Horava gravity vs. thermodynamics: the black hole case
- Gravity from spontaneous Lorentz violation
- Short-range gravity and Lorentz violation
- Spherical Solutions in Einstein-Aether Theory: Static Aether and Stars
- Model for gravity at large distances
- Modified black hole solution with a background Kalb-Ramond field
- Static and spherically symmetric black holes in gravity with a background Kalb-Ramond field
- Slowly rotating black holes in Horava-Lifshitz gravity
- Slowly rotating black holes in Einstein-æther theory
- Minimal theory of massive gravity
- Electrically charged black holes in gravity with a background Kalb-Ramond field
- Vacuum solution within a metric-affine bumblebee gravity
- Polarizations of Gravitational Waves in the Bumblebee Gravity Model
- Static neutral black holes in Kalb-Ramond gravity
- Possible Causes of False General Relativity Violations in Gravitational Wave Observations
- An exact stationary axisymmetric vacuum solution within a metric--affine bumblebee gravity
- Testing local Lorentz invariance with short-range gravity
- Charged spherically symmetric and slowly rotating charged black hole solutions in bumblebee gravity
- Traversable wormhole solution with a background Kalb-Ramond field
- Exact solution for a traversable wormhole in a curvature-coupled antisymmetric background field
- Noether identities in gravity theories with nondynamical backgrounds and explicit spacetime symmetry breaking
- Spacetime Symmetry Breaking and Einstein-Maxwell Theory
- Neutron stars in the bumblebee theory of gravity
- Regular Black Holes and Horizonless Ultra-Compact Objects in Lorentz-Violating Gravity
- Spherically symmetric exact vacuum solutions in Einstein-aether theory
- General spherically symmetric solution of Cotton gravity
- Does the speed of gravitational waves depend on the source velocity?
- Strange Quark Stars and Condensate Dark Stars in Bumblebee Gravity
- Einstein-Bumblebee-Dilaton black hole solution
- Stars and quark stars in bumblebee gravity
- Ellis drainhole solution in Einstein-Æther gravity and the axial gravitational quasinormal modes