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arXiv · 2103.07611

Spontaneous Lorentz violation and asymptotic flatness

Yuri Bonder·Christian Peterson
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Abstract

The Standard Model Extension (SME) is a generic parametrization for Lorentz violation and the phenomenological consequences of the minimal gravity sector of the SME are usually studied using a post-Newtonian expansion that requires spacetime to be asymptotically flat. However, there is a term in this sector for which these approximations are unable to make predictions; this is known as the $t$ puzzle. The present paper studies a model of spontaneous Lorentz violation in the minimal gravity sector of the SME in a static and spherically symmetric situation, when no additional matter fields are present. It is shown that, under the above mentioned assumptions, $t$ is the only term in the minimal gravity sector for which no asymptotically flat solutions exist. This stems from the fact that the $t$ term fixes the asymptotic behavior of all the pieces of the curvature tensor.

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Yuri Bonder, Christian Peterson. 2021-03-13. Spontaneous Lorentz violation and asymptotic flatness. https://doi.org/10.1103/physrevd.103.104016

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