Gravitational entropy in Petrov Type I spacetimes
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910239628984320 |
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| author | Sarma, Maharshi Nájera, Sebastián Sussman, Roberto A. |
| author_facet | Sarma, Maharshi Nájera, Sebastián Sussman, Roberto A. |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_20611 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Gravitational entropy in Petrov Type I spacetimes Sarma, Maharshi Nájera, Sebastián Sussman, Roberto A. General Relativity and Quantum Cosmology 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. |
| title | Gravitational entropy in Petrov Type I spacetimes |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2605.20611 |