Gravitational lensing in dispersive media and deflection angle of charged massive particles in terms of curvature scalars and energy-momentum tensor
May 6, 201922 pages
Published in:
- Phys.Rev.D 100 (2019) 4, 044006
- Published: Aug 6, 2019
e-Print:
- 1905.02125 [gr-qc]
DOI:
- 10.1103/PhysRevD.100.044006 (publication)
View in:
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Abstract: (APS)
In this work we extend the approach used in [Emanuel Gallo and Osvaldo M. Moreschi, Phys. Rev. D 83, 083007 (2011)PRVDAQ1550-799810.1103/PhysRevD.83.083007] to the study of weak gravitational lensing in a plasma medium. First, we present expressions for the deflection angle and optical scalars in terms of the components of the energy-momentum tensor for spherically symmetric lenses surrounded by a cold nonmagnetized plasma. Second, we show that the same expressions can be deduced using the Gauss-Bonnet theorem. Finally, we establish a correspondence between the spatial orbits of photons in a nonhomogeneous plasma and the nongeodesic curves followed by test massive particles whose dynamics also depend on an external central field. As an application, we use the Gauss-Bonnet theorem to compute the deflection angle of the non-geodesic trajectories followed by relativistic test massive charged particles in a Reissner-Nordström spacetime.Note:
- Matches version to appear in PRD
- General relativity, alternative theories of gravity
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