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Main Authors: Mironov, S., Sharov, M.
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2411.05416
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author Mironov, S.
Sharov, M.
author_facet Mironov, S.
Sharov, M.
contents We consider a general dynamical, spherically symmetric background in the cubic subclass of Horndeski theory and obtain the quadratic action for the perturbations using the DPSV approach. We analyse the stability conditions for high-energy modes and study the issue of the no-go theorem in the current subclass of Horndeski theory. We formulate the no-go theorem for weak dependence on one variable (time or radial) and derive its generalization to the cases which could be reduced by coordinate transformation to scenarios where the scalar field has weak dependence on one of the coordinates. Moreover we show that wide class of singular solutions are also prohibited within the cubic subclass of Horndeski theory.
format Preprint
id arxiv_https___arxiv_org_abs_2411_05416
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle No-Go theorem in the cubic subclass of Horndeski theory for spherically symmetric dynamical background
Mironov, S.
Sharov, M.
High Energy Physics - Theory
We consider a general dynamical, spherically symmetric background in the cubic subclass of Horndeski theory and obtain the quadratic action for the perturbations using the DPSV approach. We analyse the stability conditions for high-energy modes and study the issue of the no-go theorem in the current subclass of Horndeski theory. We formulate the no-go theorem for weak dependence on one variable (time or radial) and derive its generalization to the cases which could be reduced by coordinate transformation to scenarios where the scalar field has weak dependence on one of the coordinates. Moreover we show that wide class of singular solutions are also prohibited within the cubic subclass of Horndeski theory.
title No-Go theorem in the cubic subclass of Horndeski theory for spherically symmetric dynamical background
topic High Energy Physics - Theory
url https://arxiv.org/abs/2411.05416