vix.ing · top · new · best · stats · spec

Causal Geodesics in Cylindrically Symmetric Vacuum Spacetimes Using Hamilton-Jacobi Formalism

2021/12/09 by Ashiqul Islam Dip, Dip, Ashiqul Islam, Nishat Anjum +5
Physics and Astronomy · #Advanced Differential Geometry Research #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect

paper · pdf · doi:10.48550/arxiv.2112.05206

openalex publication_date 2021/12/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Cylindrically symmetric vacuum spacetimes are of immense interest in theoretical physics due to its connection to cosmic strings hypothesized in quantum field theory. In this article, we explore the properties of such spacetime and provide the complete solution to the time- and light-like geodesics in it using Hamilton-Jacobi formalism. In addition, we compare several properties and massive particle trajectories of relativistic cylindrically symmetric vacuum spacetimes to its non-relativistic, Newtonian gravitational counterparts.

Related