Extended N -soliton solution of the Einstein-Maxwell equations

Section: Introductionmentioning

confidence: 99%

The Poynting vector of stationary axisationary electrovac spacetimes reexamined

Manko

Rodchenko

Садовников

et al. 2006

“…The equatorially antisymmetric EMR solutions belong to the N = 2 subclass of the analytically extended multisoliton solution whose Ernst potentials E and Φ in the general N = 2 case are given by the formulae [6] E = E + /E − , Φ = F/E − , . .…”

Section: The Ernst Potentials and Metric Functions Of Emr Solutionsmentioning

confidence: 99%

“…where the functions A, B, C, R ± , r ± and quantities α ± , d are defined by formulae (8) and (6) in the case of solution I, and by formulae (12) and (11) in the case of solution II. The functions G, H and I, entering the expression of ω, have the following form ‡:…”

Section: The Ernst Potentials and Metric Functions Of Emr Solutionsmentioning

confidence: 99%

“…Bearing in mind the above two main objectives, in section 2 of the present paper the metrical fields of the EMR solutions will be derived using expansions of the determinantal formulae of paper [6] in the N = 2 case. Furthermore, in section 3 the obtained analytical formulae fully defining the EMR spacetimes will be utilized for † e-mail: jordi@fis.cinvestav.mx the resolution of the equilibrium problem of two equal counter-rotating Kerr-Newman-NUT particles.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

On the properties of the Ernst–Manko–Ruiz equatorially antisymmetric solutions

Sod–Hoffs

Rodchenko

2007

Abstract. Two new equatorially antisymmetric solutions recently published by Ernst et al are studied. For both solutions the full set of metric functions is derived in explicit analytic form and the behavior of the solutions on the symmetry axis is analyzed. It is shown in particular that two counter-rotating equal Kerr-Newman-NUT objects will be in equilibrium when the condition m 2 + ν 2 = q 2 + b 2 is verified, whereas two counter-rotating equal masses endowed with arbitrary magnetic and electric dipole moments cannot reach equilibrium under any choice of the parameters, so that a massless strut between them will always be present.

“…The canonical Papapetrou form of the general DN class was obtained in [5] as the simplest N = 1 specialization of the extended multi-soliton electrovacuum metric [6].…”

Section: Introductionmentioning

confidence: 99%

Singular sources in Demiański–Newman spacetimes

Manko¹,

Martín²,

Ruiz³

2006

The analysis of singular regions in the NUT solutions carried out in the recent paper (Manko and Ruiz, 2005 Class. Quantum Grav. 22, 3555) is now extended to the Demiański-Newman vacuum and electrovacuum spacetimes. We show that the effect which produces the NUT parameter in a more general situation remains essentially the same as in the purely NUT solutions: it introduces the semiinfinite singularities of infinite angular momenta and positive or negative masses depending on the interrelations between the parameters; the presence of the electromagnetic field additionally endows the singularities with electric and magnetic charges. The exact formulae describing the mass, charges and angular momentum distributions in the Demiański-Newman solutions are obtained and concise general expressions P n = (m + iν)(ia) n , Q n = (q + ib)(ia) n for the entire set of the respective Beig-Simon multipole moments are derived. These moments correspond to a unique choice of the integration constant in the expression of the metric function ω which is different from the original choice made by Demiański and Newman.