Gravitational entropy in Petrov Type I spacetimes
General Relativity and Quantum Cosmology
2026-05-21 v1
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.
Keywords
Cite
@article{arxiv.2605.20611,
title = {Gravitational entropy in Petrov Type I spacetimes},
author = {Maharshi Sarma and Sebastián Nájera and Roberto A. Sussman},
journal= {arXiv preprint arXiv:2605.20611},
year = {2026}
}
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17 pages