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Geometry and Quantum Physics pp 388Cite as

Absolute Conservation Law for Black Holes

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Part of the book series: Lecture Notes in Physics ((LNP,volume 543))

Abstract

The spherically reduction of the 4d Einstein-Hilbert action reduces to a 2d dilaton theory[1], which can be shown to be equivalent to a first order action (with nonvanishing torsion)[2] being a special case of a Poisson-σ model[3].

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References

  1. P. Thomi, B. Isaak and P. Hajicek, Phys. Rev. D 30 (1984) 1168; P. Hajicek, ibid. D 30 (1984) 1178; S.R. Lau, Class. Quant. Grav. 13 (1996) 1541.

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  2. M.O. Katanaev, W. Kummer and H. Liebl, Phys. Rev. D 53 (1996) 5609; W. Kummer, H. Liebl and D. V. Vassilevich, Nucl. Phys. B 493 (1997) 491.

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  3. N. Ikeda and K-I. Izawa, Progr. Theor. Phys. 89 (1993) 1.; P. Schaller and T. Strobl, Mod. Phys. Lett. A 9 (1994) 3129.; T. Strobl, Phys. Rev. D 50 (1994) 7346.; T. Klösch and T. Strobl, Class. Quant. Grav. 13 (1996) 965.; W. Kummer and D. Schwarz, Phys. Rev. D 45 (1992) 3628.

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  4. W. Kummer and P. Widerin, Phys. Rev. D 52 (1995) 6965.; W. Kummer and G. Tieber, Universal conservation law and modified Noether symmetry in 2d models of gravity with matter, TUW-98-16, hep-th/9807122 (to be published in Phys. Rev. D).

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  5. D. Grumiller, W. Kummer, Absolute conservation law for black holes, gr-qc/9902074

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  6. C. Gundlach, Adv. Theor. Math. Phys. 2 (1998) 1; M. W. Choptuik, The (unstable) threshold of black hole formation, gr-qc/9803075.

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Author information

Authors and Affiliations

  1. Institut für Theoretische Physik, Technische Universität Wien, Wiedner Hauptstr. 8-10, A-1040, Wien, Austria

    Daniel Grumiller

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  1. Daniel Grumiller
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Editor information

Editors and Affiliations

  1. Institut für Theoretische Physik, Karl-Franzens-Universität, Universitätsplatz 5, 8010, Graz, Austria

    H. Gausterer  & L. Pittner  & 

  2. Institut für Theoretische Physik, Universität Wien, Boltzmanngasse 5, 1090, Wien, Austria

    Harald Grosse

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© 2000 Springer-Verlag Berlin Heidelberg

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Grumiller, D. (2000). Absolute Conservation Law for Black Holes. In: Gausterer, H., Pittner, L., Grosse, H. (eds) Geometry and Quantum Physics. Lecture Notes in Physics, vol 543. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46552-9_13

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  • DOI: https://doi.org/10.1007/3-540-46552-9_13

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67112-1

  • Online ISBN: 978-3-540-46552-2

  • eBook Packages: Springer Book Archive

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