Gravitational collapse and formation of a black hole in a type II minimally modified gravity theory

Antonio De Felice; Kei-ichi Maeda; Shinji Mukohyama; Masroor C. Pookkillath

doi:10.1088/1475-7516/2023/03/030

paper

Gravitational collapse and formation of a black hole in a type II minimally modified gravity theory

arXiv:2211.14760 · doi:10.1088/1475-7516/2023/03/030

Abstract

We study the spherically symmetric collapse of a cloud of dust in VCDM, a class of gravitational theories with two local physical degrees of freedom. We find that the collapse corresponds to a particular foliation of the Oppenheimer-Snyder solution in general relativity (GR) which is endowed with a constant trace for the extrinsic curvature relative to the time $t$ constant foliation. For this solution, we find that the final state of the collapse leads to a static configuration with the lapse function vanishing at a radius inside the apparent horizon. Such a point is reached in an infinite time- $t$ interval, $t$ being the cosmological time, i.e. the time of an observer located far away from the collapsing cloud. The presence of this vanishing lapse endpoint implies the necessity of a UV completion to describe the physics inside the resulting black hole. On the other hand, since the corresponding cosmic time $t$ is infinite, VCDM can safely describe the whole history of the universe at large scales without knowledge of the unknown UV completion, despite the presence of the so-called shadowy mode.

22 pages, 9 figures

Gravitational collapse and formation of a black hole in a type II minimally modified gravity theory

Abstract

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