Forces for the particles with a zero energy in Kerr metric




Black hole, Kerr spacetime, ergosphere, zero energy, forces


The particles with negative energy might exist in the ergosphere of a rotating black hole due to collision or decay. We also know that there might be particles with zero energy in this region. In this paper we find out how the geodesic equations depend upon the energy and consider forces which act on the particles with zero energy. Also, we investigate the question how these forces for particles with zero energy differ from the ones in the case of usual positive energy E. We find out that the forces in the usual case are less than in the case of zero energy.


Chandrasekhar, S. (1983) The mathematical theory of black holes. New York: Clarendon Press, 646 p. (In English)

Grib, A. A., Pavlov, Yu. V. (2017) Black holes and particles with zero or negative energy. Theoretical and Mathematical Physics, 190 (2), 268–278. (In English)

Grib, A. A., Pavlov, Yu. V., Vertogradov, V. D. (2014) Geodesics with negative energy in the ergosphere of rotating black holes. Modern Physics Letters A, 29 (20), 14501–14510. (In English)

Landau, L. D., Lifshitz, E. M. (1976) Course of Theoretical Physics Series: In 10 vols. Vol. 2. The classical theory of fields. 4th ed. Oxford: Butterworth-Heinemann Publ., 444 p. (In English)

Penrose, R. (2002) “Golden Oldie”: Gravitational collapse: The role of general relativity. General Relativity and Gravitation, 34 (7), 1141–1165. (In English)

Poisson, E. (2004) A relativist’s toolkit: The mathematics of black-hole mechanics. Cambridge: Cambridge University Press, 233 p. (In English)

Teukolsky, S. A. (2015) The Kerr metric. Classical and Quantum Gravity, 32 (12), article 124006 (In English)

Vertogradov, V. D. (2015) Geodesics for particles with negative energy in Kerr’s metric. Gravitation and Cosmology, 21 (2), 171–174. (In English)

Vladimirov, Yu. S. (2009) Klassicheskaya teoriya gravitatsii [Classical gravity theory]. Moscow: Librokom Publ., 264 p. (In Russian)





Theoretical Physics