26 Result(s)
within
J. B. Griffiths
Theoretical, Mathematical and Computational Physics
-
Article
Some physical properties of neutrino-gravitational fields
A new solution of the Einstein-neutrino field equations is given. This solution is of Plebanski class [4n]3 and describes a beam of neutrinos propagating along straight geodesies but possessing an inherent angula...
-
Article
A contribution to the Rainich theory of the neutrino field
The neutrino-gravitational field is divided into fourteen distinct classes. This classification is shown also to determine the class of the space-time. Then for four particular classes of space-time, necessary...
-
Article
Gravitational radiation and neutrinos
A class of neutrino-gravitational fields with zero energy-momentum tensor is defined. These space-times may also be interpreted as describing gravitational waves and are of Petrov typeD orN. A wave-like example o...
-
Article
Neutrino radiation in spherically-symmetric gravitational fields I. The energy-momentum tensor for the one-neutrino and many-particle neutrino field
The physical situation of a star emitting neutrinos is considered. Some difficulties in the classical theory are mentioned, and a more detailed approach to the properties of neutrino radiation in general relat.....
-
Article
A contribution to the rainich theory of the neutrino field II
Conditions are given on the metric of a space-time for it to admit a neutrino-gravitational field. The method described involves comparing the spin coefficients of a suitably defined tetrad of null vectors. It...
-
Article
Neutrino radiation in spherically-symmetric gravitational fields II. The structure of the radiation field
It is shown that the neutrino radiation field emitted by a star may be described by Vaidya's radiating Schwarzschild metric. The gravitational energy shift of the neutrino field is also considered, both in ter.....
-
Article
Neutrino radiation in spherically-symmetric gravitational fields. III. Comparison with photon radiation fields
The gravitational properties of spherically-symmetric photon and neutrino radiation fields are compared and found to be identical. A model for the photon radiation field made up of incoherent radiation is firs.....
-
Article
On the superposition of electromagnetic waves in general relativity
It is shown that, in a region of space-time containing two independent electromagnetic waves propagating in different directions, it is not possible for the two waves to follow simultaneously affinely paramete...
-
Article
Interacting electromagnetic waves in general relativity
The problem is considered of finding exact solutions of the Einstein-Maxwell equations which describe the physical situation of two colliding and subsequently interacting electromagnetic waves. The general the...
-
Article
On the propagation of photons and neutrinos in curved space-time
It is shown using a classical wave theory approach that photons and neutrinos have different propagation properties in curved space-time. It is also shown that neutrinos have the anomalous property that the si...
-
Article
A Newman-Penrose-type formalism for space-times with torsion
The familiar Newman-Penrose formalism, in which the curvature of space-time is represented in terms of spin coefficients, is here extended to include the possibility of an asymmetric connection. It is hoped th...
-
Article
Neutrino fields in Einstein-Cartan theory
The spin-coefficient formalism presented elsewhere is here applied to classical neutrino fields in Einstein-Cartan theory. It is shown that the neutrino current vector is tangent to an expansion-free null geod...
-
Article
A spin-coefficient approach to Weyssenhoff fluids in Einstein-Cartan theory
The generalized Newman-Penrose formalism is used to analyze semiclassical aligned spin fluids satisfying the Weyssenhoff restriction in the framework of Einstein-Cartan theory. Some general properties are deri...
-
Article
Algebraically special, nonaligned, non-null Einstein-Maxwell fields
A class of algebraically special non-null electrovac solutions is presented, in which the repeated principal null congruence is shear free, twist free, and geodesic, and is not aligned with a principal null di...
-
Article
Colliding plane gravito-electromagnetic waves
The collision and interaction of plane electromagnetic waves is considered. Field equations are formulated and the appropriate boundary conditions are described in detail. A solution-generating technique is de...
-
Article
The application of spin coefficient techniques in the vacuum quadratic Poincaré gauge field theory
The vacuum field equations of the quadratic Poincaré gauge field theory are expressed in the spin coefficient formalism of Newman and Penrose. These are differential identities involving curvature and torsion ...
-
Article
A new class of exact solutions of the vacuum quadratic Poincaré gauge field theory
A class of algebraically special exact solutions of the vacuum quadratic Poincaré gauge field theory is presented. These solutions are of type III and type N and have a nonexpanding, shear-free and twist-free ...
-
Article
Colliding plane gravitational waves with colinear polarization
The colliding plane wave problem is considered using an unconventional coordinate system. This permits a complete solution to be explicitly stated for the general case of arbitrary approaching waves with const...
-
Article
Physical interpretation of vacuum solutions of Einstein's equations. Part II. Time-dependent solutions
The study of interpretations of the vacuum solutions of Einstein's field equations is continued by considering some well known time-dependent solutions. Among these are metrics representing accelerating partic...
-
Article
Book review
