Critical collapse for the Starobinsky R 2 model

Yolbeiker Baez (Instituto de Física, Pontificia Universidad Católica de Valparaíso, Av. Brasil, Valparaíso, 2950, Chile)

We study gravitational collapse for the Starobinsky R 2 model, a particular example of an f(r) theory, in a spherically symmetric spacetime. We add a massless scalar field as matter content to the spacetime. We work in the Einstein frame, where an additional scalar field arises due to the conformal transformation. As in general relativity, depending on the initial data, we found that the gravity scalar field and the physical scalar field can collapse, forming a black hole, in which the final solution is the Schwarzschild metric. We found the threshold of black hole formation through a fine-tuning method and studied critical collapse near this regime.

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Published on:
02 May 2023
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2023 (2023)
Issue 5
Pages 1-17
DOI:
https://doi.org/10.1007/JHEP05(2023)019
arXiv:
2212.14805
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: