Light deflection with torsion effects caused by a spinning cosmic string

Abstract

Using a new geometrical method introduced by Werner, we find the deflection angle in the weak limit approximation by a spinning cosmic string in the context of the Einstein-Cartan (EC) theory of gravity. We begin by adopting the String-Randers optical metric, then we apply the Gauss-Bonnet theorem to the optical geometry and derive the leading terms of the deflection angle in the equatorial plane. Calculation shows that light deflection is affected by the intrinsic spin of the cosmic string and torsion.

Weak lensing in a plasma medium and gravitational deflection of massive particles using the Gauss-Bonnet theorem. A unified treatment

“…surrounding the exterior of a spherical mass described by the Schwarzschild metric (22). It follows that the photon frequency has the same behavior as in the homogeneous case; however, the refractive index changes,…”

“…Here, we restrict our attention to a Schwarzschild spacetime of mass m with A(r), B(r) and C(r) given by (22). Using the variable u = 1/r, Eq.…”

“…In Refs. [21][22][23][24][25][26][27][28][29][30][31][32][33][34] we find applications of the method to the study of a variety of different spacetimes with spherical symmetry, and in [35] the method was modified by Werner in order to allow the study of gravitational lensing in rotating and stationary spacetimes. This new version was applied to a variety of metrics in Refs.…”

Scattering and Bound States of a Spin-1/2 Neutral Particle in the Cosmic String Spacetime

“…For example, in the galaxy formation [5,6], to study vortex solutions in non-abelian gauge theories with spontaneous symmetry breaking [7] and to study the gravitational analogue of the Aharonov-Bohm effect [8][9][10][11][12]. In recent developments, cosmic strings have * fmandrade@uepg.br † cleversonfilgueiras@yahoo.com.br ‡ edilbertoo@gmail.com been considered to analyze solutions in de Sitter and anti-de Sitter spacetimes [13], to study the thermodynamic properties of a neutral particle in a magnetic cosmic string background by using an approach based on the partition function method [14], to compute the vacuum polarization energy of string configurations in models similar to the standard model of particle physics [15], to find the deflection angle in the weak limit approximation by a spinning cosmic string in the context of the Einstein-Cartan theory of gravity [16], to analyze numerically the behavior of the solutions corresponding to an Abelian string in the framework of the Starobinsky model [17], to study solutions of black holes [18], to investigate the average rate of change of energy for a static atom immersed in a thermal bath of electromagnetic radiation [19], to study Hawking radiation of massless and massive charged particles [20], to study the non-Abelian Higgs model coupled with gravity [21], in the quantum dynamics of scalar bosons [22], hydrodynamics [23], to study the non-relativistic motion of a quantum particle subjected to magnetic field [24], to investigate dynamical solutions in the context of super-critical tensions [25], Higgs condensate [26], to analyze the effects on spin current and Hall electric field [27,28], to investigate the dynamics of the Dirac oscillator [29,30], to study non-inertial effects on the ground state energy of a massive scalar field [31], Landau quantization [32] and to investigate the quantum vacuum interaction energy [33].…”

Gravitational lensing by wormholes supported by electromagnetic, scalar, and quantum effects

“…Then, Werner [45] also extended the latter result to the stationary black holes. Afterwards, Gibbons and Werner method (GWM) has become popular and is still used in many studies [46][47][48][49][50][51][52][53][54][55][56][57]. Different than the ordinary methods, in GWM the deflection angle is computed by taking the integral over a domain A ∞ outside the light ray:…”