T. Harko, F. S. N. Lobo, H. M. R. da Silva
Abstract
In this work we made use of a general static cillindrically symmetric metric to find U (1) local cosmic string solutions in the context of the hybrid metric-Palatini theory of gravity in it's scalar-tensor representation. After finding the dynamical equations for this particular case, we imposed boost invariance along t and z directions, which simplified the equations of motions, leaving only one single metric tensor component, W 2(r). For an arbitrary potential V (ϕ), the solutions obtained can be put in a closed parametric form, with ϕ taken as a parameter. Several particular cases of the potential were studied, some yielding simple mathematical forms, others with only numerical solutions. In this way, we obtain a large class of novel stable stringlike solutions in the context of hybrid metric-Palatini gravity, in which the basic parameters, such as the scalar fleld, metric tensor components, and string tension, depend essentially on the initial values of the scalar fleld, and of its derivative, on the r(0) circular axis.
Keywords
Cosmic Strings; Modified Gravity; hybrid metric-Palatini theory
Proceedings of the MG16 Meeting on General Relativity
Remo Ruffini, Gregory Vereshchagin
World Scientific Publishing Co. Pte. Ltd., Page 485
2023 March
