- Access by Xinjiang University
Binary system of unequal counterrotating Kerr-Newman sources
Phys. Rev. D 91, 044005 – Published 3 February, 2015
DOI: https://doi.org/10.1103/PhysRevD.91.044005
Abstract
Stationary axisymmetric binary systems of unequal counterrotating Kerr-Newman sources with a massless strut in between are studied. By means of the choice of a suitable parametrization, the axis conditions and the absence of individual magnetic charges are fulfilled; thus, the entire metric reduces to a six-parametric asymptotically flat exact solution. Later on, with the purpose to describe interacting black holes, the analytic functional form of the horizon half-length parameter is obtained explicitly in terms of physical Komar parameters: mass , electric charge , angular momentum , and coordinate distance , where the seven physical parameters satisfy a simple algebraic relation. Finally, in the limit of extreme black holes, the full metric is derived in a closed analytical form, and a study on the absence or appearance of naked singularities off the axis is presented.
Article Text
References (51)
- H. Reissner, Ann. Phys. (Berlin) 355, 106 (1916).
- G. Nordström, Proc. K. Ned. Akad. Wet. 20, 1238 (1918).
- H. Weyl, Ann. Phys. (Berlin) 359, 117 (1917).
- S. D. Majumdar, Phys. Rev. 72, 390 (1947).
- A. Papapetrou, Proc. R. Irish Acad., Sect. A 51, 191 (1947).
- G. G. Varzugin and A. S. Chystiakov, Classical Quantum Gravity 19, 4553 (2002).
- G. A. Alekseev and V. A. Belinski, Phys. Rev. D 76, 021501(R) (2007).
- V. S. Manko, Phys. Rev. D 76, 124032 (2007).
- R. Bach and H. Weyl, Math. Z. 13, 134 (1922).
- W. Israel, Phys. Rev. D 15, 935 (1977).
- D. Kramer and G. Neugebauer, Phys. Lett. A 75, 259 (1980).
- I. Cabrera-Munguia, V. S. Manko, and E. Ruiz, Gen. Relativ. Gravit. 43, 1593 (2011).
- I. Cabrera-Munguia and A. Macías, AIP Conf. Proc. 1577, 213 (2014).
- W. Dietz and C. Hoenselaers, Ann. Phys. (N.Y.) 165, 319 (1985).
- V. S. Manko, E. Ruiz, and J. D. Sanabria-Gómez, Classical Quantum Gravity 17, 3881 (2000).
- G. Neugebauer and J. Hennig, Gen. Relativ. Gravit. 41, 2113 (2009).
- E. Newman, E. Couch, K Chinnapared, A. Exton, A. Prakash, and R. Torrence, J. Math. Phys. (N.Y.) 6, 918 (1965).
- L. Parker, R. Rufinni, and D. Wilkins, Phys. Rev. D 7, 2874 (1973).
- Z. Perjés, Phys. Rev. Lett. 27, 1668 (1971).
- W. Israel and G. A. Wilson, J. Math. Phys. (N.Y.) 13, 865 (1972).
- V. S. Manko, R. I. Rabadán, and E. Ruiz, Classical Quantum Gravity 30, 145005 (2013).
- A. Komar, Phys. Rev. 113, 934 (1959).
- R. Emparan, Phys. Rev. D 61, 104009 (2000).
- R. Emparan and E. Teo, Nucl. Phys. B610, 190 (2001).
- V. S. Manko, R. I. Rabadán, and J. D. Sanabria-Gomez, Phys. Rev. D 89, 064049 (2014).
- I. Cabrera-Munguia, C. Lämmerzahl, L. A. López, and A. Macías, Phys. Rev. D 90, 024013 (2014).
- I. Cabrera-Munguia, C. Lämmerzahl, L. A. López, and A. Macías, Phys. Rev. D 88, 084062 (2013).
- J. S. Schwinger, Science 165, 757 (1969).
- L. Smarr, Phys. Rev. Lett. 30, 71 (1973).
- A. Tomimatsu, Prog. Theor. Phys. 72, 73 (1984).
- S. Dain and O. E. Ortiz, Phys. Rev. D 80, 024045 (2009).
- Z. Perjés, J. Math. Phys. (N.Y.) 30, 2197 (1989).
- M. E. Gabach Clement, Classical Quantum Gravity 29, 165008 (2012).
- R. Schoen and S.-T. Yau, Commun. Math. Phys. 65, 45 (1979).
- R. Schoen and S.-T. Yau, Commun. Math. Phys. 79, 231 (1981).
- F. J. Ernst, Phys. Rev. 168, 1415 (1968).
- N. R. Sibgatullin, Oscillations and Waves in Strong Gravitational and Electromagnetic Fields (Springer-Verlag, Berlin, 1991).
- E. Ruiz, V. S. Manko, and J. Martín, Phys. Rev. D 51, 4192 (1995).
- A. Papapetrou, Ann. Phys. (Berlin) 447, 309 (1953).
- W. Simon, J. Math. Phys. (N.Y.) 25, 1035 (1984).
- E. Newman, L. Tamburino, and T. Unti, J. Math. Phys. (N.Y.) 4, 915 (1963).
There is a misprint in formula (7) of Ref. [27]; a bar over the term is missed.
- I. Cabrera-Munguia, C. Lämmerzahl, and A. Macías, Classical Quantum Gravity 30, 175020 (2013).
- W. Kinnersley, J. Math. Phys. (N.Y.) 18, 1529 (1977).
- G. Weinstein, Commun. Pure Appl. Math. 43, 903 (1990).
- B. Carter, in Black Holes, edited by C. DeWitt and B. S. DeWitt (Gordon and Breach, New York, 1973), p. 57.
- A. Tomimatsu and H. Sato, Phys. Rev. Lett. 29, 1344 (1972); Prog. Theor. Phys. 50, 95 (1973).
- R. Arnowitt, S. Deser, and C. W. Misner, Phys. Rev. 122, 997 (1961).
- M. Demiański and E. T. Newman, Bull. Acad. Polon. Sci. Ser. Math. Astron. Phys. 14, 653 (1966).
- W. B. Bonnor, Z. Phys. 161, 439 (1961).
- W. B. Bonnor, J. Phys. A 12, 853 (1979).