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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 195, Number 2, Pages 269–287
DOI: https://doi.org/10.4213/tmf9455 (Mi tmf9455) 		 
Congruence convergence in pp-wave space–time

M. Fathi, M. Mohseni

Department of Physics, Payame Noor University, Tehran, Iran
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DOI: https://doi.org/10.4213/tmf9455
Abstract: We argue that the well-known geodesic completeness property of pp-waves can be disregarded once the geodesics are extracted as being extended along sets of Brinkmann coordinates. We investigate this issue in the more general context of congruence convergence and show that the problem leads to various issues for nongeodesic congruences. Our consideration is mostly based on the null congruence expansion, and we also provide a generalized Raychaudhuri equation.
Keywords: gravitational wave, pp-wave, congruence expansion, generalized Raychaudhuri equation, convergence.
Received: 31.08.2017
English version:
Theoretical and Mathematical Physics, 2018, Volume 195, Issue 2, Pages 729–744
DOI: https://doi.org/10.1134/S0040577918050082
Bibliographic databases:
Document Type: Article
PACS: 04.20.-q, 04.20.Jb, 04.30.-w, 04.20.Gz
Language: Russian
Citation: M. Fathi, M. Mohseni, “Congruence convergence in pp-wave space–time”, TMF, 195:2 (2018), 269–287; Theoret. and Math. Phys., 195:2 (2018), 729–744
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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