Unimodular gravity theory with external sources in a Lorentz-symmetry breaking scenario

Abstract

This paper is dedicated to the study of interactions between stationary field sources for the linearized unimodular gravity or WTDIFF theory in a model which exhibits Lorentz symmetry breaking due to the presence of the linearized topological Chern-Simons term in $3+1$ dimensions, where the Lorentz symmetry breaking is caused by a single background vector $v^{\mu }$. Since the background vector is very tiny, we treat it perturbatively up to second order and we focus on physical phenomena which have no counterpart in standard WTDIFF theory. We consider effects related to field sources describing point-like particles and cosmic strings. We show that in a Lorentz violating scenario the interaction between external sources lead to numerically different results for linerarized Eintein-Hilbert (LEH) and WTDIFF theories, however both results are qualitatively similar and can be equalized after a rescaling of the Lorentz breaking source term which makes an experimental distinction impossible at leading order in pertubation theory as far as point particles and cosmic strings are concerned.

12 pages

References in corpus (17)

• Signals for Lorentz Violation in Post-Newtonian Gravity
• Spontaneous Lorentz and Diffeomorphism Violation, Massive Modes, and Gravity
• Transverse Fierz-Pauli symmetry
• Vacuum Cerenkov Radiation in Lorentz-Violating Theories Without CPT Violation
• Short-range gravity and Lorentz violation
• Limits on isotropic Lorentz violation in QED from collider physics
• Lorentz violation in the linearized gravity
• Search for Lorentz violation in short-range gravity
• Combined search for Lorentz violation in short-range gravity
• Search for Lorentz invariance violation through tests of the gravitational inverse square law at short-ranges
• Testing local Lorentz invariance with short-range gravity
• Field sources in a Lorentz symmetry breaking scenario with a single background vector
• Vacuum energies due to delta-like currents: simulating classical objects along branes with arbitrary codimensions
• Enhanced sensitivity to Lorentz invariance violations in short-range gravity experiments
• Velocity-dependent inverse cubic force and solar system gravity tests
• Electrostatic and Magnetostatic Solutions in a Lorentz-Violating Electrodynamics Model
• Weyl and transverse diffeomorphism invariant spin-2 models in D=2+1

Cited by in corpus (3)

• Signals for Lorentz violation in gravitational waves
• Field sources in a CPT-even Lorentz-violation Maxwell electrodynamics
• Semi-transparent boundaries in CPT-even Lorentz violating electrodynamics