Gravitational Lensing in Spherically Symmetric Spacetimes
Bonita de Swardt, Peter K. S. Dunsby, Chris Clarkson
TL;DR
This paper develops a covariant framework for analyzing gravitational lensing in spherically symmetric spacetimes, deriving a general deflection angle formula and demonstrating its application to Schwarzschild spacetime.
Contribution
It introduces a novel covariant 1+1+2 formalism for gravitational lensing in spherically symmetric spacetimes, providing a unified approach and explicit formula derivation.
Findings
Derived a general deflection angle formula
Recovered the Schwarzschild lensing result
Established a covariant framework for lensing analysis
Abstract
We present a framework for studying gravitational lensing in spherically symmetric spacetimes using 1+1+2 covariant methods. A general formula for the deflection angle is derived and we show how this can be used to recover the standard result for the Schwarzschild spacetime.
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Taxonomy
TopicsAstrophysical Phenomena and Observations · Pulsars and Gravitational Waves Research · Galaxies: Formation, Evolution, Phenomena