A new family of exact solutions of the Einstein-Maxwell equations for static axially symmetric spacetimes is presented. The metric functions of the solutions are explicitly computed and are simply written in terms of the oblate spheroidal coordinates. The solutions, obtained by applying the Ernst method of complex potentials, describe an infinite family of static charged dust disks with an inner edge. The energy density, pressure and charge density of all the disks of the family are everywhere well behaved, in such a way that the energy-momentum tensor fully agrees with all the energy conditions.
A class of solutions of the static Einstein-Maxwell equations is considered. This class of solutions...
A theorem is proved, according to which to each solution of the Einstein equations with an arbitrary...
We study exact solutions to the Einstein-Maxwell system of equations and relate them to com-pact obj...
A new family of exact solutions of the Einstein-Maxwell equations for static axially symmetric spac...
We review explicit solutions to the stationary axisymmetric Einstein-Maxwell equations whic...
Using the well-known "displace, cut and reflect" method used to generate disks from given solutions ...
Original article can be found at: http://www.journals.royalsoc.ac.uk/ Copyright Royal Society [Full ...
The Einstein field equations are derived for a static cylindrically symmetric spacetime with elastic...
We find a new class of exact solutions to the Einstein-Maxwell equations which can be used to model ...
The paper presents a family of stationary cylindrically symmetric solutions of the Einstein-Maxwell ...
A family of axisymmetric asymptotically flat solutions of the Einstein-Maxwell field equations is pr...
We obtain solutions to a transformation of the axially symmetric Ernst equation, which governs a cla...
A new Petrov type D exact solution of the Einstein-Maxwell equations with a charged perfect fluid is...
An analytical solution of Einstein-Maxwell equations with a static fluid as a source is presented. T...
We obtain solutions to a transformation of the axially symmetric Ernst equation, which governs a cla...
A class of solutions of the static Einstein-Maxwell equations is considered. This class of solutions...
A theorem is proved, according to which to each solution of the Einstein equations with an arbitrary...
We study exact solutions to the Einstein-Maxwell system of equations and relate them to com-pact obj...
A new family of exact solutions of the Einstein-Maxwell equations for static axially symmetric spac...
We review explicit solutions to the stationary axisymmetric Einstein-Maxwell equations whic...
Using the well-known "displace, cut and reflect" method used to generate disks from given solutions ...
Original article can be found at: http://www.journals.royalsoc.ac.uk/ Copyright Royal Society [Full ...
The Einstein field equations are derived for a static cylindrically symmetric spacetime with elastic...
We find a new class of exact solutions to the Einstein-Maxwell equations which can be used to model ...
The paper presents a family of stationary cylindrically symmetric solutions of the Einstein-Maxwell ...
A family of axisymmetric asymptotically flat solutions of the Einstein-Maxwell field equations is pr...
We obtain solutions to a transformation of the axially symmetric Ernst equation, which governs a cla...
A new Petrov type D exact solution of the Einstein-Maxwell equations with a charged perfect fluid is...
An analytical solution of Einstein-Maxwell equations with a static fluid as a source is presented. T...
We obtain solutions to a transformation of the axially symmetric Ernst equation, which governs a cla...
A class of solutions of the static Einstein-Maxwell equations is considered. This class of solutions...
A theorem is proved, according to which to each solution of the Einstein equations with an arbitrary...
We study exact solutions to the Einstein-Maxwell system of equations and relate them to com-pact obj...