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Galileon-like vector fields

P. K. Petrov

  • Department of Particle Physics and Cosmology, Faculty of Physics, M. V. Lomonosov Moscow State University, Vorobyovy Gory, 1-2, Moscow, 119991, Russia and Institute for Nuclear Research of the Russian Academy of Sciences, 60th October Anniversary Prospect, 7a, 117312 Moscow, Russia

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Phys. Rev. D 100, 025006 – Published 16 July, 2019

DOI: https://doi.org/10.1103/PhysRevD.100.025006

Abstract

We construct simple Lagrangians of vector fields which involve second derivatives but nevertheless lead to second-order field equations. These vector fields are, therefore, analogs of generalized Galileons. Our construction is given first in Minkowski space and then generalized to include dynamical gravity. We show that the speed of gravitational waves about homogeneous and isotropic backgrounds is equal to the speed of light. We present examples of backgrounds that are stable and ghost free despite the absence of gauge invariance. Some of these backgrounds violate the null energy condition.

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Phys. Rev. D 100, 025006– Published 16 July, 2019
  • Received 25 January 2019
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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