Equatorial symmetry/antisymmetry of stationary axisymmetric electrovac spacetimes. II

Abstract

In this second paper devoted to the equatorial symmetry/antisymmetry of stationary axisymmetric electrovac spacetimes we show how two theorems proved in our previous paper (Ernst, Manko and Ruiz 2006 Class. Quantum Grav. 23, 4945) can be utilized to construct exact solutions that are equatorially symmetric or antisymmetric.

arXiv comment11 pages, minor changes to match the published version

References in corpus (6)

• Approximate Matching of Analytic and Numerical Solutions for Rapidly Rotating Neutron Stars
• Exact Solution for the Exterior Field of a Rotating Neutron Star
• Towards a self-consistent relativistic model of the exterior gravitational field of rapidly rotating neutron stars
• Equatorial symmetry/antisymmetry of stationary axisymmetric electrovac spacetimes
• Determining parameters of the Neugebauer family of vacuum spacetimes in terms of data specified on the symmetry axis
• Fully Electrified Neugebauer Spacetimes

Cited by in corpus (11)

• Exact solution for the simplest binary system of Kerr black holes
• Metric for two equal Kerr black holes
• Stationary black diholes
• Possible connection between the reflection symmetry and existence of equatorial circular orbit
• The exterior field of slowly and rapidly rotating neutron stars: Rehabilitating spacetime metrics involving hyperextreme objects
• The Breton-Manko equatorially antisymmetric binary configuration revisited
• Thermodynamics of two aligned Kerr-Newman black holes
• On the properties of the Ernst-Manko-Ruiz equatorially antisymmetric solutions
• Smarr formula for black holes endowed with both electric and magnetic charges
• The relations between the multipole moments in axistationary electrovacuum spacetimes and the $N$-soliton solution
• Comment on "Generalized black diholes"