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
We find a new class of exact solutions to the Einstein-Maxwell equations which can be used to model ...
An analytical solution of Einstein-Maxwell equations with a static fluid as a source is presented. T...
Exact analytic solutions of Einstein’s equations are difficult because of the high nonlinearity of t...
A new family of exact solutions of the Einstein-Maxwell equations for static axially symmetric space...
We review explicit solutions to the stationary axisymmetric Einstein-Maxwell equations whic...
The Einstein field equations are derived for a static cylindrically symmetric spacetime with elastic...
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 ...
We find exact static solutions of the Einstein equations in the spacetime with plane symmetry, where...
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...
A new Petrov type D exact solution of the Einstein-Maxwell equations with a charged perfect fluid is...
A class of solutions of the static Einstein-Maxwell equations is considered. This class of solutions...
New families of exact general relativistic thick disks are constructed using the "displace, cut, fil...
The first fully integrated explicit exact solution of Einstein's field equations corresponding to ...
We find a new class of exact solutions to the Einstein-Maxwell equations which can be used to model ...
An analytical solution of Einstein-Maxwell equations with a static fluid as a source is presented. T...
Exact analytic solutions of Einstein’s equations are difficult because of the high nonlinearity of t...
A new family of exact solutions of the Einstein-Maxwell equations for static axially symmetric space...
We review explicit solutions to the stationary axisymmetric Einstein-Maxwell equations whic...
The Einstein field equations are derived for a static cylindrically symmetric spacetime with elastic...
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 ...
We find exact static solutions of the Einstein equations in the spacetime with plane symmetry, where...
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...
A new Petrov type D exact solution of the Einstein-Maxwell equations with a charged perfect fluid is...
A class of solutions of the static Einstein-Maxwell equations is considered. This class of solutions...
New families of exact general relativistic thick disks are constructed using the "displace, cut, fil...
The first fully integrated explicit exact solution of Einstein's field equations corresponding to ...
We find a new class of exact solutions to the Einstein-Maxwell equations which can be used to model ...
An analytical solution of Einstein-Maxwell equations with a static fluid as a source is presented. T...
Exact analytic solutions of Einstein’s equations are difficult because of the high nonlinearity of t...