All Issues

2018, no. 4

PHOTON AND TRANSVERSELY TRAPPING SURFACES IN STATIONARY SPACETIME

Galtsov D.V., Kobialko K.V.

The photon surface (PS) is defined as closed timelike hypersurface in spacetime such that any null geodesic initially tangent to its spatial section remains in it forever. The transversely trapping surface (TTS) is such that null geodesics can leave this spatial section, but only in one direction inside. Both surfaces are important characteristics of a strong gravitational field of black holes, wormholes and naked singularities associated with their imaging properties. We analyze the PS and the TTS using a number of examples with an emphasis on their existence in static spaces that do not possess spherical symmetry, as well as in stationary spaces. Solutions are investigated in which classical photon surfaces disappear, but there are TTS and their generalizations. Axially symmetric metrics with rotation and with naked singularities, such as the Zipoy-Vourhis solution, are considered.

Keywords: photon surface, transversely trapping surface, numerical gravitation,analytical characteristics.

UDC: 517.917

PACS: 34D08, 93C15

DOI: 10.17238/issn2226-8812.2018.4.48-56

Please cite this article in English as:
Galtsov D.V., Kobialko K.V. Photon and transversely trapping surfaces in stationary spacetime. Space, Time and Fundamental Interactions, 2018, no. 4, pp. 4856.