## Abstract

In a class of Gleyzes-Langlois-Piazza-Vernizzi theories, we derive both vacuum and interior Schwarzschild solutions under the condition that the derivatives of a scalar field φ with respect to the radius r vanish. If the parameter αH characterizing the deviation from Horndeski theories approaches a nonzero constant at the center of a spherically symmetric body, we find that the conical singularity arises at r=0 with the Ricci scalar given by R=-2αH/r2. This originates from violation of the geometrical structure of four-dimensional curvature quantities. The conical singularity can disappear for the models in which the parameter αH vanishes in the limit that r→0. We propose explicit models without the conical singularity by properly designing the classical Lagrangian in such a way that the main contribution to αH comes from the field derivative φ′(r) around r=0. We show that the extension of covariant Galileons with a diatonic coupling allows for the recovery of general relativistic behavior inside a so-called Vainshtein radius. In this case, both the propagation of a fifth force and the deviation from Horndeski theories are suppressed outside a compact body in such a way that the model is compatible with local gravity experiments inside the solar system.

Original language | English |
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Article number | 124060 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 92 |

Issue number | 12 |

DOIs | |

Publication status | Published - 2015 Dec 23 |

Externally published | Yes |

## ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)