First order perturbations of hypersurfaces of arbitrary causal character
| Autor: | Borja Reina, Brien C. Nolan, Kepa Sousa |
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| Přispěvatelé: | Ministerio de Economía y Competitividad (España), Consejo Superior de Investigaciones Científicas (España) |
| Rok vydání: | 2019 |
| Předmět: |
Physics
Physics and Astronomy (miscellaneous) 010308 nuclear & particles physics FOS: Physical sciences Perturbation (astronomy) General Relativity and Quantum Cosmology (gr-qc) First order 01 natural sciences Hypersurfaces General Relativity and Quantum Cosmology Perturbation 0103 physical sciences Mathematics::Differential Geometry 010306 general physics Mathematical economics |
| Zdroj: | Digital.CSIC. Repositorio Institucional del CSIC instname |
| Popis: | In this work we study the problem of first order perturbations of a general hypersurface, i.e. with arbitrary causal character at each point. We extend the framework by Mars (2005 Class. Quantum Grav. 22 3325-48) where this problem was studied to second order for everywhere timelike or spacelike hypersurfaces, and we adapt it to cover the general case. We apply the formalism to the matching of spacetimes across a general hypersurface to first order in perturbation theory. © 2019 IOP Publishing Ltd. Work supported by the Spanish MINECO and FEDER (FIS2017-85076-P), by the Basque Government (IT-956-16, POS-2016-1-0075, IT-979-16), by the ERC Advanced Grant 339169 ‘Selfcompletion’ and by the Spanish Research Agency (Agencia Estatal de Investigación) through the grant IFT Centro de Excelencia Severo Ochoa SEV-2016-0597 and the project FPA2015-65480-P. |
| Databáze: | OpenAIRE |
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