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Spontaneous Lorentz violation and asymptotic flatness

Yuri Bonder* and Christian Peterson

  • Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apartado Postal 70-543, Cd. Mx., 04510, México

  • *bonder@nucleares.unam.mx
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Phys. Rev. D 103, 104016 – Published 12 May, 2021

DOI: https://doi.org/10.1103/PhysRevD.103.104016

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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Outline

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Phys. Rev. D 103, 104016– Published 12 May, 2021
  • Received 30 March 2021
  • Accepted 14 April 2021
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