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

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書誌事項

公開日
2023-03-01
資源種別
journal article
権利情報
  • https://iopscience.iop.org/page/copyright
  • https://iopscience.iop.org/info/page/text-and-data-mining
DOI
  • 10.1088/1475-7516/2023/03/030
  • 10.48550/arxiv.2211.14760
公開者
IOP Publishing

説明

<jats:title>Abstract</jats:title> <jats:p>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 <jats:italic>t</jats:italic> 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-<jats:italic>t</jats:italic> interval, <jats:italic>t</jats:italic> 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 <jats:italic>t</jats:italic> 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.</jats:p>

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