No stable static spherically symmetric wormholes in Horndeski theory
Institute for Nuclear Research of the Russian Academy of Sciences, 60th October Anniversary Prospect 7a, Moscow, 117312, Russia
2 Department of Particle Physics and Cosmology, Physics Faculty, M. V. Lomonosov Moscow State University, Vorobyovy Gory, 1-2, Moscow 119991, Russia
Published online: 31 October 2018
We consider the most general theory of a single scalar field with the second order field equations, the Horndeski theory, in four-dimensional space-time. We show that static, spherically symmetric, asymptotically flat, Lorentzian wormholes are unstable in this theory.
© The Authors, published by EDP Sciences, 2018
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