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U (1) local strings in generalized hybrid metric-Palatini gravity

H. M. R. da Silva, T. Harko, F. S. N. Lobo

Abstract
In this work we will explore U (1) local cosmic string solutions in the context of the generalized hybrid metric-Palatini theory of gravity in its scalar-tensor representation. Using a general static cillindrically symmetric metric to find the dynamical equations for this particular case, we will simplify the equations by imposing boost invariance along t and z directions. The physical and geometrical properties of the cosmic strings are determined by the two scalar fields, as well by an effective field potential, functionally dependent on both scalar fields. While for some forms of the potential, the dynamical equations can be solved exactly, for more general formas of the potential the solutions are found numerically. In this way, we obtain a large class of stable stringlike astrophysical configurations, whose basic parameters (string tension and radius) depend essentially on the effective field potential, and on the boundary conditions.

Proceedings of the MG16 Meeting on General Relativity
Remo Ruffini, Gregory Vereshchagin

World Scientific Publishing Co. Pte. Ltd., Page 1820
2023 March

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Faculdade de Ciências da Universidade de Lisboa Universidade do Porto Faculdade de Ciências e Tecnologia da Universidade de Coimbra
Fundação para a Ciência e a Tecnologia COMPETE 2020 PORTUGAL 2020 União Europeia