Reversing the null limit of the Szekeres metric
Abstract
The null limits of the Lemaître-Tolman and Szekeres spacetimes are known to be the Vaidya and news-free Robinson-Trautman metrics. We generalise this result to the case of non-zero Λ, and then ask whether the reverse process is possible—is there a systematic procedure to retrieve the timelike-dust metric from the null-dust case? We present such an algorithm for re-constructing both the metric and matter tensor components of the timelike-dust manifold. This undertaking has elucidated the null limit process, highlighted which quantities approach unity or zero, and necessitated a careful discussion of how the functional dependencies are managed by the transformations and substitutions used.
- Publication:
-
Classical and Quantum Gravity
- Pub Date:
- February 2021
- DOI:
- 10.1088/1361-6382/abcc0c
- arXiv:
- arXiv:2007.11350
- Bibcode:
- 2021CQGra..38c5004H
- Keywords:
-
- cosmology;
- inhomogeneous models;
- null limit;
- Szekeres metric;
- Robinson-Trautman metric;
- Vaidya metric;
- Kinnersley rocket;
- General Relativity and Quantum Cosmology
- E-Print:
- LaTeX, 17pp, no figures, includes referee and proofreader amendments, to appear in CQG