Black holes with metric and fields of the same form

Kyriakopoulos, E

dc.contributor.author	Kyriakopoulos, E	en
dc.date.accessioned	2014-03-01T02:08:10Z
dc.date.available	2014-03-01T02:08:10Z
dc.date.issued	2012	en
dc.identifier.issn	00017701	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29629
dc.subject	Black hole solutions	en
dc.subject	Metric and fields of the same form	en
dc.title	Black holes with metric and fields of the same form	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s10714-011-1269-4	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s10714-011-1269-4	en
heal.publicationDate	2012	en
heal.abstract	We present two rotating black hole solutions with axion ξ, dilaton φ and two U(1) vector fields. Starting from a non-rotating metric with three arbitrary parameters, which we have found previously, and applying the ""Newman-Janis complex coordinate trick"" we get a rotating metric gμν with four arbitrary parameters namely the mass M, the rotation parameter a and the charges electric QE and magnetic QM. Then we find a solution of the equations of motion having this gμν as metric. Our solution is asymptotically flat and has angular momentum J = Ma, gyromagnetic ratio g = 2, two horizons, the singularities of the solution of Kerr, axion and dilaton singular only when r = a cos θ = 0 etc. By applying to our solution the S-duality transformation we get a new solution, whose axion, dilaton and vector fields have one more parameter. The metrics, the vector fields and the quantity λ=ξ+ie-2φ of our solutions and the solution of: Sen for QE, Sen for QE and QM, Kerr-Newman for QE and QM, Kerr, Reference Kyriakopoulos [Class. Quantum Grav. 23:7591, 2006, Eqs. (54-57)], Shapere, Trivedi and Wilczek, Gibbons-Maeda-Garfinkle-Horowitz-Strominger, Reissner-Nordström, Schwarzschild are the same function of a, and two functions ρ2 = r(r + b) + a2 cos2θ and Δ = r(r + b) - 2Mr + a2 + c, of a, b and two functions for each vector field, and of a, b and d respectively, where a, b, c and d are constants. From our solutions several known solutions can be obtained for certain values of their parameters. It is shown that our two solutions satisfy the weak the dominant and the strong energy conditions outside and on the outer horizon and that all solutions with a metric of our form, whose parameters satisfy some relations satisfy also these energy conditions outside and on the outer horizon. This happens to all solutions given in the ""Appendix"". Mass formulae for our solutions and for all solutions which are mentioned in the paper are given. One mass formula for each solution is of Smarr's type and another a differential mass formula. Many solutions with metric, vector fields and λ of the same functional form, which include most physically interesting and well known solutions, are listed in an ""Appendix"". © 2011 Springer Science+Business Media, LLC.	en
heal.journalName	General Relativity and Gravitation	en
dc.identifier.doi	10.1007/s10714-011-1269-4	en
dc.identifier.volume	44	en
dc.identifier.issue	1	en
dc.identifier.spage	157	en
dc.identifier.epage	199	en