PUGLIESE, Daniela and H. QUEVEDO. Kerr metric Killing bundles Killing horizons confinement, light-surfaces and horizons replicas. European Physical Journal C. New York (USA): SPRINGER, 2021, vol. 81, No 3, p. "258-1"-"258-44", 44 pp. ISSN 1434-6044. Available from: https://dx.doi.org/10.1140/epjc/s10052-021-08986-0.
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Basic information
Original name Kerr metric Killing bundles Killing horizons confinement, light-surfaces and horizons replicas
Authors PUGLIESE, Daniela (380 Italy, belonging to the institution) and H. QUEVEDO.
Edition European Physical Journal C, New York (USA), SPRINGER, 2021, 1434-6044.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10308 Astronomy
Country of publisher United States of America
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/47813059:19630/21:A0000163
Organization unit Institute of physics in Opava
Doi http://dx.doi.org/10.1140/epjc/s10052-021-08986-0
UT WoS 000634799800002
Keywords in English metric Killing bundles;Kerr geometry;Killing horizons;sets of black holes;black holes;naked singularities
Tags 2022, FÚ, RIV22
Tags International impact, Reviewed
Changed by Changed by: Mgr. Pavlína Jalůvková, učo 25213. Changed: 8/3/2022 15:39.
Abstract
We provide a complete characterization of the metric Killing bundles (or metric bundles) of the Kerr geometry. Metric bundles can be generally defined for axially symmetric spacetimes with Killing horizons and, for the case of Kerr geometries, are sets of black holes (BHs) or black holes and naked singularities (NSs) geometries. Each metric of a bundle has an equal limiting photon (orbital) frequency, which defines the bundle and coincides with the frequency of a Killing horizon in the extended plane. In this plane each bundle is represented as a curve tangent to the curve that represents the horizons, which thus emerge as the envelope surfaces of the metric bundles. We show that the horizons frequency can be used to establish a connection between BHs and NSs, providing an alternative representation of such spacetimes in the extended plane and an alternative definition of the BH horizons. We introduce the concept of inner horizon confinement and horizons replicas and study the possibility of detecting their frequencies. We study the bundle characteristic frequencies constraining the inner horizon confinement in the outer region of the plane i.e. the possibility of detect frequency related to the inner horizon, and the horizons replicas, structures which may be detectable for example from the emission spectra of BHs spacetimes. With the replicas we prove the existence of photon orbits with equal orbital frequency of the horizons. It is shown that such observations can be performed close to the rotation axis of the Kerr geometry, depending on the BH spin. We argue that these results could be used to further investigate black holes and their thermodynamic properties.
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