A type of Levi–Civita solution in modified Gauss–Bonnet gravity
M.E. RodriguesFaculdade de Ciências Exatas e Tecnologia, Universidade federal do Pará - Campus Universitário de Abaetetuba, CEP 68440-000, Pará, BrazilM.J.S. HoundjoDepartamento de Ciências Naturais - CEUNES Universidade Federal do Espírito Santo - CEP 29933-415 - São Mateus - ES, BrazilD. MomeniEurasian International Center for Theoretical Physics - Eurasian National University, Astana 010008, KazakhstanR. MyrzakulovEurasian International Center for Theoretical Physics - Eurasian National University, Astana 010008, Kazakhstan
2013en
ABI
Аннотация
Herein we obtain an exact solution for cylindrically symmetric modified Gauss–Bonnet gravity. This metric is a generalization of the vacuum solution of Levi–Civita in general relativity. It describes an isotropic perfect fluid one-parameter family of the gravitational configurations, which can be interpreted as the exterior metric of a cosmic string. By setting the Gauss–Bonnet coupling parameter to zero, we recover the vacuum solution in the Einstein gravity as well.
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