Abstract
This paper explores a thin shell of ideal fluid surrounding a Kerr black hole assuming a slow rotation and retaining only first order terms of expansion in angular momentum. It is shown that a physically feasible shell rotates rigidly in this approximation and that the interior black hole mass is constrained by other parameters of the system. Furthermore, it is shown that the local inertial frames are “dragged” by the shell as the shell radius approaches the gravitational radius, which is similar to results of studies considering a flat interior.
Similar content being viewed by others
References
Kerr R.P.: Phys. Rev. Lett. 11, 237–238 (1963)
Carter B.: Phys. Rev. 174, 1559–1571 (1968)
Hawking S.W., Ellis G.F.R.: The Large Scale Structure of Space-Time. Cambridge University Press, Cambridge (1973)
Neugebauer G., Meinel R.: Phys. Rev. Lett. 73, 2166–2168 (1994)
Neugebauer G., Meinel R.: Phys. Rev. Lett. 75, 3046–3047 (1995)
Bicak J., Ledvinka T.: Phys. Rev. Lett. 71, 1669–1672 (1993)
De La Cruz V., Israel W.: Phys. Rev. 170, 1187–1192 (1968)
Cohen J.M.: J. Math. Phys. 8, 1477–1478 (1967)
Orwig L.P.: Phys. Rev. D. 18, 1757–1763 (1978)
Pfister H., Braun K.H.: Class. Quantum Grav. 3, 335–345 (1986)
Babala D.: Gen. Relativ. Gravit. 18, 173–191 (1986)
Frauendiener J., Hoenselaers C., Konrad W.: Class. Quantum Grav. 7, 585–587 (1990)
Israel, W.: Nuovo Cim. 44B, 1–14 (1966); Errata: (1967) Nuovo Cim. 48B, 463
Horsky J.: Czech. J. Phys. B18, 569–583 (1968)
Novotny J., Horsky J.: Czech. J. Phys. B24, 718–724 (1974)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Siegl, R. A spinning shell around a Kerr black hole in a slow rotation approximation. Gen Relativ Gravit 43, 155–161 (2011). https://doi.org/10.1007/s10714-010-1078-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10714-010-1078-1