Anisotropic cubic curvature couplings

Abstract

To complement recent work on tests of spacetime symmetry in gravity, cubic curvature couplings are studied using an effective field theory description of spacetime-symmetry breaking. The associated mass dimension 8 coefficients for Lorentz violation studied do not result in any linearized gravity modifications and instead are revealed in the first nonlinear terms in an expansion of spacetime around a flat background. We consider effects on gravitational radiation through the energy loss of a binary system and we study two-body orbital perturbations using the post-Newtonian metric. Some effects depend on the internal structure of the source and test bodies, thereby breaking the Weak Equivalence Principle for self-gravitating bodies. These coefficients can be measured in solar-system tests, while binary-pulsar systems and short-range gravity tests are particularly sensitive.

11 pages

References in corpus (26)

• The Confrontation between General Relativity and Experiment
• Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale
• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Signals for Lorentz Violation in Post-Newtonian Gravity
• Particle Physics Implications of a Recent Test of the Gravitational Inverse Square Law
• Matter-gravity couplings and Lorentz violation
• Atom Interferometry tests of the isotropy of post-Newtonian gravity
• Riemann-Finsler geometry and Lorentz-violating kinematics
• Prospects for Large Relativity Violations in Matter-Gravity Couplings
• What Do We Know About Lorentz Invariance?
• Quantum Tests of the Einstein Equivalence Principle with the STE-QUEST Space Mission
• Testing for Lorentz Violation: Constraints on Standard-Model Extension Parameters via Lunar Laser Ranging
• Bipartite Riemann-Finsler geometry and Lorentz violation
• Short-range gravity and Lorentz violation
• Tests of local Lorentz invariance violation of gravity in the standard model extension with pulsars
• Search for Lorentz violation in short-range gravity
• Time-delay and Doppler tests of the Lorentz symmetry of gravity
• New pulsar limit on local Lorentz invariance violation of gravity in the standard-model extension
• Combined search for Lorentz violation in short-range gravity
• Lorentz violation in the gravity sector: The t puzzle
• Vector models of gravitational Lorentz symmetry breaking
• Quantization and stability of bumblebee electrodynamics
• Orbital effects of Lorentz-violating Standard Model Extension gravitomagnetism around a static body: a sensitivity analysis
• Search for Lorentz invariance violation through tests of the gravitational inverse square law at short-ranges
• Einstein-aether theory with a Maxwell field: General formalism
• Lorentz violation and higher-derivative gravity

Cited by in corpus (5)

• Signals for Lorentz violation in gravitational waves
• Testing local Lorentz invariance with short-range gravity
• Testing the Gravitational Weak Equivalence Principle in the Standard-Model Extension with Binary Pulsars
• Velocity-dependent inverse cubic force and solar system gravity tests
• The Standard-Model Extension and Gravitational Tests