Gravity from spontaneous Lorentz violation

Details Gravity from spontaneous Lorentz violation Gravity from spontaneous Lorentz violation

2009-01-06

arxiv.org/abs/0901.0662v1

Phys.Rev.D79:065018, 2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

51 pages

Scientific paper

We investigate a class of theories involving a symmetric two-tensor field in Minkowski spacetime with a potential triggering spontaneous violation of Lorentz symmetry. The resulting massless Nambu-Goldstone modes are shown to obey the linearized Einstein equations in a fixed gauge. Imposing self-consistent coupling to the energy-momentum tensor constrains the potential for the Lorentz violation. The nonlinear theory generated from the self-consistent bootstrap is an alternative theory of gravity, containing kinetic and potential terms along with a matter coupling. At energies small compared to the Planck scale, the theory contains general relativity, with the Riemann-spacetime metric constructed as a combination of the two-tensor field and the Minkowski metric. At high energies, the structure of the theory is qualitatively different from general relativity. Observable effects can arise in suitable gravitational experiments.

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