Electromagnetic, neutrino and gravitational fields in the Kasner spacetime with rotational symmetry
Abstract
The HertzDebye superpotential formalism has been applied to study the behavior of the perturbative zero restmass fields, namely, the electromagnetic, massless neutrino and gravitational fields in the rotationally symmetric Kasner universe. The formalism yields a single decoupled equation for the superpotential in each of the three cases. A considerable amount of information is obtained from these equations themselves and the equations are subjected to various methods of solution. The effects of anisotropy of the Kasner spacetime on the superposed fields are analysed. The relative behavior of the three fields is studied with the similarities and differences in their evolution being highlighted. Finally in the geometric optics approximation the propagation of the fields is compared with the null geodesics.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 January 1984
 DOI:
 10.1088/02649381/1/1/009
 Bibcode:
 1984CQGra...1...61D
 Keywords:

 Cosmology;
 Electromagnetic Fields;
 Gravitational Fields;
 Neutrinos;
 Perturbation Theory;
 SpaceTime Functions;
 Unified Field Theory;
 Anisotropy;
 Geometrical Optics;
 Particle Spin;
 Potential Fields;
 Relativity;
 Wave Propagation;
 Astrophysics