English

Complexity factor for black holes in the framework of the Newman-Penrose formalism

General Relativity and Quantum Cosmology 2022-09-21 v1

Abstract

In this work, we introduce the {\it complexity factor} in the context of self--gravitating fluid distributions for the case of black holes by employing the Newman-Penrose formalism. In particular, by working with spherically symmetric and static AdS black holes, we show that the complexity factor can be interpreted in a natural way at the event horizon. Specifically, a thermodynamic interpretation for the aforementioned complexity factor in terms of a pressure partially supporting a Van der Waals-like equation of state is given.

Keywords

Cite

@article{arxiv.2208.09044,
  title  = {Complexity factor for black holes in the framework of the Newman-Penrose formalism},
  author = {P. Bargueño and E. Fuenmayor and E. Contreras},
  journal= {arXiv preprint arXiv:2208.09044},
  year   = {2022}
}