参考文献:1. F.J. Ernst, New formulation of the axially symmetric gravitational field problem, Phys. Rev. 167 (1968) 1175 [ 2. F.J. Ernst, New formulation of the axially symmetric gravitational field problem. II, Phys. Rev. 168 (1968) 1415 [ 3. F.J. Ernst, Lecture notes, http://members.localnet.com/∼atheneum/exact/preface.html, (2004). 4. V. Belinski and E. Verdaguer, Gravitational solitons, Cambridge University Press, Cambridge U.K. (2001). 5. C. Charmousis, D. Langlois, D.A. Steer and R. Zegers, Rotating spacetimes with a cosmological constant, JHEP 02 (2007) 064 [ <Occurrence Type="Bibcode"><Handle>2007JHEP...02..064C</Handle></Occurrence> 6. F.J. Ernst, Black holes in a magnetic universe, J. Math. Phys. 17 (1976) 54. <Occurrence Type="Bibcode"><Handle>1976JMP....17...54E</Handle></Occurrence> 7. F.J. Ernst and W. Wild, Kerr black holes in a magnetic universe, J. Math. Phys. 17 (1976) 182. <Occurrence Type="Bibcode"><Handle>1976JMP....17..182E</Handle></Occurrence> 8. H. Iguchi and T. Mishima, Black di-ring and infinite nonuniqueness, Phys. Rev. D 75 (2007) 064018 [Erratum ibid. D 78 (2008) 069903] [hep-th/0701043] [INSPIRE]. 9. F. Kottler, 脺ber die physikalischen Grundlagen der Einsteinschen Gravitationstheorie (in German), Ann. Physik 361 (1918) 401. <Occurrence Type="Bibcode"><Handle>1918AnP...361..401K</Handle></Occurrence> 10. B. Carter, Hamilton-Jacobi and Schr枚dinger separable solutions of Einstein’s equations, Commun. Math. Phys. 10 (1968) 280 [ 11. D. Logan, An introduction to nonlinear partial differential equations, 2nd ed., Wiley, U.S.A. (2008). 12. D. Ida and Y. Uchida, Stationary Einstein-Maxwell fields in arbitrary dimensions, Phys. Rev. D 68 (2003) 104014 [ <Occurrence Type="Bibcode"><Handle>2003PhRvD..68j4014I</Handle></Occurrence> 13. T. Mishima and H. Iguchi, New axisymmetric stationary solutions of five-dimensional vacuum Einstein equations with asymptotic flatness, Phys. Rev. D 73 (2006) 044030 [ <Occurrence Type="Bibcode"><Handle>2006PhRvD..73d4030M</Handle></Occurrence> 14. M. Astorino, Accelerating black hole in 2 + 1 dimensions and 3 + 1 black (st)ring, JHEP 01 (2011) 114 [ <Occurrence Type="Bibcode"><Handle>2011JHEP...01..114A</Handle></Occurrence> 15. M.M. Caldarelli, R. Emparan and M.J. Rodriguez, Black rings in (Anti)-de Sitter space, JHEP 11 (2008) 011 [ <Occurrence Type="Bibcode"><Handle>2008JHEP...11..011C</Handle></Occurrence>
作者单位:1. Centro de Estudios Cient铆ficos (CECs), Av. Prat 514, Valdivia, Chile
刊物类别:Physics and Astronomy
刊物主题:Physics Elementary Particles and Quantum Field Theory Quantum Field Theories, String Theory
出版者:Springer Berlin Heidelberg
ISSN:1029-8479
文摘
Ernst’s solution generating technique for adding electromagnetic charge to axisymmetric space-times in general relativity is generalised in presence of the cosmological constant. Ernst equations for complex potentials are found and they are traced back to an affective dual complex dynamical system, whose symmetries are studied.