Signatures of cubic gravity in the strong regime

Fuente: arXiv
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Autores principales: Sánchez, Flavio C., Roque, Armando A., Chagoya, Javier
Formato: Preprint
Publicado: 2025
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author Sánchez, Flavio C.
Roque, Armando A.
Chagoya, Javier
author_facet Sánchez, Flavio C.
Roque, Armando A.
Chagoya, Javier
contents We investigate the effects of Einsteinian cubic gravity in the strong gravitational regime. In the first part, we explore analytical solutions for a static, spherically symmetric metric, establishing the existence of maximally symmetric de Sitter solutions, as well as asymptotically de Sitter solutions, with an effective cosmological constant. We also study, analytically and numerically, how the horizon properties are affected by cubic gravity. Our results reveal that a positive coupling constant reduces the horizon size, while a negative one increases it. In the second part, we analyze potential observational signatures of cubic terms, focusing on their effects on the bending of light. Specifically, we investigate the angular difference, related to the deflection angle but valid near the source, along with the behavior of the photon sphere. Our findings show that the strongest effects of the cubic terms occur in the strong gravity regime, and there exists a direct relationship between the value of the coupling constant and the photon sphere position, opening up the possibility to constrain cubic gravity with black hole shadows.
format Preprint
id arxiv_https___arxiv_org_abs_2502_01747
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Signatures of cubic gravity in the strong regime
Sánchez, Flavio C.
Roque, Armando A.
Chagoya, Javier
General Relativity and Quantum Cosmology
Astrophysics of Galaxies
Optics
We investigate the effects of Einsteinian cubic gravity in the strong gravitational regime. In the first part, we explore analytical solutions for a static, spherically symmetric metric, establishing the existence of maximally symmetric de Sitter solutions, as well as asymptotically de Sitter solutions, with an effective cosmological constant. We also study, analytically and numerically, how the horizon properties are affected by cubic gravity. Our results reveal that a positive coupling constant reduces the horizon size, while a negative one increases it. In the second part, we analyze potential observational signatures of cubic terms, focusing on their effects on the bending of light. Specifically, we investigate the angular difference, related to the deflection angle but valid near the source, along with the behavior of the photon sphere. Our findings show that the strongest effects of the cubic terms occur in the strong gravity regime, and there exists a direct relationship between the value of the coupling constant and the photon sphere position, opening up the possibility to constrain cubic gravity with black hole shadows.
title Signatures of cubic gravity in the strong regime
topic General Relativity and Quantum Cosmology
Astrophysics of Galaxies
Optics
url https://arxiv.org/abs/2502.01747