Optical geometry across the horizon

Details Optical geometry across the horizon Optical geometry across the horizon

2007-08-19

arxiv.org/abs/0708.2537v1

Class.Quant.Grav.23:77-89,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, 10 figures

Scientific paper

10.1088/0264-9381/23/1/004

In a companion paper (Jonsson and Westman, Class. Quantum Grav. 23 (2006) 61), a generalization of optical geometry, assuming a non-shearing reference congruence, is discussed. Here we illustrate that this formalism can be applied to a finite four-volume of any spherically symmetric spacetime. In particular we apply the formalism, using a non-static reference congruence, to do optical geometry across the horizon of a static black hole. While the resulting geometry in principle is time dependent, we can choose the reference congruence in such a manner that an embedding of the geometry always looks the same. Relative to the embedded geometry the reference points are then moving. We discuss the motion of photons, inertial forces and gyroscope precession in this framework.

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