Tomsk State Pedagogical University Bulletin
RU EN






Today: 15.11.2025
Home Issues 2014 Year Issue №12 BLACK HOLE ORBITS IN SUPERGRAVITY
  • Home
  • Current Issue
  • Bulletin Archive
    • 2025 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
    • 2024 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
    • 2023 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
    • 2022 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
    • 2021 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
    • 2020 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
    • 2019 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
    • 2018 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
    • 2017 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
      • Issue №12
    • 2016 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
      • Issue №12
    • 2015 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
      • Issue №12
    • 2014 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
      • Issue №12
    • 2013 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
      • Issue №12
      • Issue №13
    • 2012 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
      • Issue №12
      • Issue №13
    • 2011 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
      • Issue №12
      • Issue №13
    • 2010 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
      • Issue №12
    • 2009 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
      • Issue №12
    • 2008 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
    • 2007 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
    • 2006 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
      • Issue №10
      • Issue №11
      • Issue №12
    • 2005 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
    • 2004 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
    • 2003 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
    • 2002 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
    • 2001 Year
      • Issue №1
      • Issue №2
      • Issue №3
    • 2000 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
      • Issue №8
      • Issue №9
    • 1999 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
      • Issue №7
    • 1998 Year
      • Issue №1
      • Issue №2
      • Issue №3
      • Issue №4
      • Issue №5
      • Issue №6
    • 1997 Year
      • Issue №1
      • Issue №2
      • Issue №3
  • Rating
  • Search
  • News
  • Editorial Board
  • Information for Authors
  • Review Procedure
  • Information for Readers
  • Editor’s Publisher Ethics
  • Contacts
  • Manuscript submission
  • Received articles
  • Accepted articles
  • Subscribe
  • Service Entrance
vestnik.tspu.ru
praxema.tspu.ru
ling.tspu.ru
npo.tspu.ru
edujournal.tspu.ru

TSPU Bulletin is a peer-reviewed open-access scientific journal.

E-LIBRARY (РИНЦ)
Ulrich's Periodicals Directory
Google Scholar
European reference index for the humanities and the social sciences (erih plus)
Search by Author
- Not selected -
  • - Not selected -
Яндекс.Метрика

BLACK HOLE ORBITS IN SUPERGRAVITY

Stelle K. S.

Information About Author:

Duality symmetries are used to organise symmetry orbits of supergravity black-hole solutions and to display their relation to extremal (i.e. BPS) solutions at the limits of such orbits. An important technique for this analysis uses a timelike dimensional reduction and exchanges the stationary black-hole problem for a nonlinear sigma-model problem. Families of BPS solutions are characterized by nilpotent orbits under the duality symmetries, based upon a tri-graded or penta-graded decomposition of the corresponding duality group algebra.

Keywords: supergravity, black-holes, duality symmetries, sigma-model

References:

[1] G. Neugebaur and D. Kramer, Ann. der Physik (Leipzig) 24 (1969) 62.

[2] P. Breitenlohner, D. Maison and G. W. Gibbons, Commun. Math. Phys. 120 (1988) 295.

[3] G. Clement and D. Gal’tsov, Phys. Rev. D 54 (1996) 6136, [hep-th/9607043]; D. V. Gal’tsov and O. A. Rytchkov, Phys. Rev. D 58 (1998) 122001, [hep-th/9801160].

[4] E. Cremmer and B. Julia, Nucl. Phys. B 159 (1979) 141.

[5] B. de Wit, A. K. Tollsten and H. Nicolai, Nucl. Phys. B 392 (1993) 3 [hep-th/9208074].

[6] P. Meessen and T. Ortin, Nucl. Phys. B 749 (2006) 291 [hep-th/0603099].

[7] M. Cvetiˇc and D. Youm, Phys. Rev. D 53 (1996) 584 [hep-th/9507090].

[8] M. Cvetiˇc and A. A. Tseytlin, Phys. Lett. B 366 (1996) 95 [hep-th/9510097].

[9] J. Eells, Jr. and J. H. Sampson, J. H., Am. J. Math. 86 (1964) 109.

[10] G. Bossard, H. Nicolai and K. S. Stelle, JHEP 0907 (2009) 003 [arXiv:0902.4438 [hep-th]].

[11] J. Ehlers, “Konstruktion und Charakterisierungen von L¨osungen der Einsteinschen Gravitationsgleichungen”, Dissertation, Hamburg (1957).

[12] M. Gunaydin, G. Sierra and P. K. Townsend, Phys. Lett. B 133 (1983) 72.

[13] E. Cremmer, H. Lu, C. N. Pope and K. S. Stelle, Nucl. Phys. B 520 (1998) 132 [hep-th/9707207].

[14] G. Bossard and H. Nicolai, Gen. Rel. Grav. 42 (2010) 509 [arXiv:0906.1987 [hep-th]].

[15] G. Bossard and C. Ruef, Gen. Rel. Grav. 44 (2012) 21 [arXiv:1106.5806 [hep-th]].

stelle_k._s._232_237_12_153_2014.pdf ( 685.01 kB ) stelle_k._s._232_237_12_153_2014.zip ( 562.61 kB )

Issue: 12, 2014

Series of issue: Issue 12

Pages: 232 — 237

Downloads: 1091

For citation:


© 2025 Tomsk State Pedagogical University Bulletin

Development and support: Network Project Laboratory TSPU