Matter-gravity scattering in the presence of spontaneous Lorentz violation

Abstract

Considering quantum gravity within the framework of effective field theory, we investigated the consequences of spontaneous Lorentz violation for the gravitational potential. In particular, we focus our attention on the bumblebee models, in which the graviton couples to a vector $B_{\mu }$ that assumes a nonzero vacuum expectation value. The leading order corrections for the nonrelativistic potential are obtained from calculation of the scattering matrix of two scalar particles interacting gravitationally. These corrections imply anisotropic properties associated with the bumblebee background and also add a Darwin-like term for Newton's potential.

arXiv comment19 pages, 2 figures, new references added, Eqs. (30) and (34) are corrected, and results and conclusions are improved. Version published in Phys. Rev. D

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• Bumblebee gravity and particle motion in Snyder noncommutative spacetime structures
• Constraining the Lorentz-Violating Bumblebee Vector Field with Big Bang Nucleosynthesis and Gravitational Baryogenesis
• Implications of a Simpson-Visser solution in Verlinde's framework
• Exact modifications on a vacuum spacetime due to a gradient bumblebee field at its vacuum expectation value
• Global monopole in a Ricci-coupled Kalb-Ramond bumblebee gravity
• Thermodynamics of Schwarzschild-AdS black hole in non-commutative geometry
• Properties of an axisymmetric Lorentzian non-commutative black hole
• Regarding the Radion in Randall-Sundrum Models with Brane Curvature
• Violation of Hod's Conjecture and Probing it with Optical properties of a 5-D black hole in Einstein Gauss-Bonnet Bumblebee theory of gravity
• One-loop radiative corrections in bumblebee-Stueckelberg model
• Super-entropy bumblebee AdS black holes
• Particle dynamics and optical appearance of charged spherically symmetric black holes in bumblebee gravity
• Full Classification of Static Spherical Vacuum Solutions to Bumblebee Gravity with General VEVs
• Static Spherical Vacuum Solution to Bumblebee Gravity with Time-like VEVs
• Gravitational time advancement effect in Bumblebee gravity for Earth bound systems
• Unimodular gravity theory with external sources in a Lorentz-symmetry breaking scenario
• Curled orbit and epicyclic oscillation of charged particles around the weakly magnetized black hole in the presence of Lorentz violation
• Estimating the strength of Lorentzian distribution in non-commutative geometry by solar system tests
• Superradiance scattering of scalar, electromagnetic, and gravitational fields and thin accretion disk around non-commutating Kerr black hole
• Axisymmetric black hole in a non-commutative gauge theory: classical and quantum gravity effects
• Accretion of matter of a new bumblebee black hole
• Gravitational aspects of a new bumblebee black hole
• Quasinormal Modes and Hawking Radiation Sparsity of GUP corrected Black Holes in Bumblebee Gravity with Topological Defects
• Non-minimal matter sector couplings in Lorentz-violating gravity: Self-consistent traversable wormholes and quasinormal modes