Making use of twistor structures and the Kerr theorem for shear-free null geodesic congruences, an infinite family of electromagnetic fields satisfying the homogeneous Maxwell equations in flat Minkowski and the associated curved Kerr-Schild backgrounds is determined for any such congruence in a purely algebraic way. The simplest examples of invariant axisymmetric Maxwell fields are presented. © 2011 Pleiades Publishing, Ltd
A treatment of Einstein's equations governing vacuum gravitational fields which are stationary and a...
Maxwell’s vacuum equations are integrated for admissible electromagnetic fields in homogeneous space...
17 pages. V4: version accepted for publication in Open Physics. A precision added: Eq (1) applies to...
Making use of twistor structures and the Kerr theorem for shear-free null geodesic congruences, an i...
We show that (specifically scaled) equations of shear-free null geodesic congruences on the Minkowsk...
The Kerr and Robinson theorems in four-dimensional spacetime together provide the general null solut...
We consider an extended version of the Kerr theorem incorporated in the Kerr-Schild formalism. It al...
A new, conserved, symmetric tensor field for a source-free Maxwell test field on a four-dimensional ...
URL:http://link.aps.org/doi/10.1103/PhysRevD.43.3902 DOI:10.1103/PhysRevD.43.3902A class of exact s...
Kerr-Schild formalism is generalized by incorporation of the Kerr Theorem with polynomials of higher...
The paper investigates the solutions of Maxwell-Einstein equations for null electromagnetic fields w...
Making use of the Kerr theorem for shear-free null congruences and of Newman's representation for a ...
We find exact solutions to Maxwell equations written in terms of fourvector potentials in non-rotati...
It is known that vacuum Maxwell equations being considered on the background of any pseudo-Riemannia...
We discuss the limit of vanishing G (Newton’s constant of universal gravitation) of the maximal anal...
A treatment of Einstein's equations governing vacuum gravitational fields which are stationary and a...
Maxwell’s vacuum equations are integrated for admissible electromagnetic fields in homogeneous space...
17 pages. V4: version accepted for publication in Open Physics. A precision added: Eq (1) applies to...
Making use of twistor structures and the Kerr theorem for shear-free null geodesic congruences, an i...
We show that (specifically scaled) equations of shear-free null geodesic congruences on the Minkowsk...
The Kerr and Robinson theorems in four-dimensional spacetime together provide the general null solut...
We consider an extended version of the Kerr theorem incorporated in the Kerr-Schild formalism. It al...
A new, conserved, symmetric tensor field for a source-free Maxwell test field on a four-dimensional ...
URL:http://link.aps.org/doi/10.1103/PhysRevD.43.3902 DOI:10.1103/PhysRevD.43.3902A class of exact s...
Kerr-Schild formalism is generalized by incorporation of the Kerr Theorem with polynomials of higher...
The paper investigates the solutions of Maxwell-Einstein equations for null electromagnetic fields w...
Making use of the Kerr theorem for shear-free null congruences and of Newman's representation for a ...
We find exact solutions to Maxwell equations written in terms of fourvector potentials in non-rotati...
It is known that vacuum Maxwell equations being considered on the background of any pseudo-Riemannia...
We discuss the limit of vanishing G (Newton’s constant of universal gravitation) of the maximal anal...
A treatment of Einstein's equations governing vacuum gravitational fields which are stationary and a...
Maxwell’s vacuum equations are integrated for admissible electromagnetic fields in homogeneous space...
17 pages. V4: version accepted for publication in Open Physics. A precision added: Eq (1) applies to...
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