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PreprintCC BY 4.0arXiv

Gravitational entropy in Petrov Type I spacetimes

  • Maharshi Sarma
  • Sebastián Nájera
  • Roberto A. Sussman
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Abstract

The gravitational entropy proposal of Clifton, Ellis and Tavakol (CET) is based on an effective energy momentum tensor formed by the algebraic decomposition of the 4th order Bel-Robinson tensor. So far the application of the CET proposal has been limited to spacetimes of Petrov types D and N for which this algebraic decomposition is unique. To address this limitation we examine in detail the effective energy momentum tensors that result from the algebraic decomposition of the Bel-Robinson tensor in Petrov type I spacetimes. As a test case we apply these results to the Szekeres models of class II, a Petrov type I analytic solution.

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Cite

BibTeXRIS
BibTeX
@misc{sarma2026gravitational,
  title = {{Gravitational entropy in Petrov Type I spacetimes}},
  author = {Maharshi Sarma and Sebastián Nájera and Roberto A. Sussman},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2605.20611},
  eprint = {2605.20611},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.20611},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Gravitational entropy in Petrov Type I spacetimes
AU  - Maharshi Sarma
AU  - Sebastián Nájera
AU  - Roberto A. Sussman
PY  - 2026
DA  - 2026/10/04
PB  - arXiv
DO  - 10.48550/arxiv.2605.20611
UR  - https://arxiv.org/abs/2605.20611
AB  - The gravitational entropy proposal of Clifton, Ellis and Tavakol (CET) is based on an effective energy momentum tensor formed by the algebraic decomposition of the 4th order Bel-Robinson tensor. So far the application of the CET proposal has been limited to spacetimes of Petrov types D and N for which this algebraic decomposition is unique. To address this limitation we examine in detail the effective energy momentum tensors that result from the algebraic decomposition of the Bel-Robinson tensor in Petrov type I spacetimes. As a test case we apply these results to the Szekeres models of class II, a Petrov type I analytic solution.
ER  -