2021/12/08 by Tiberiu Harko, Francisco S. N. Lobo, Harko, Tiberiu +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Solar and Space Plasma Dynamics
paper · pdf · doi:10.48550/arxiv.2112.04496
openalex publication_date 2021/12/08 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28
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, W2(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. With this approach, we obtain a large number of new stable stringlike solutions in hybrid metric-Palatini gravity, in which the parameters, like the scalar field, metric tensor components, and string tension, depend fundamentally on the boundary values of the scalar field, and its derivative, on the r(0) circular axis.