A special case of the solution represents ''ghost neutrinos'' in flat spacetime. A new exact solution to the Einstein-Dirac equations is presented the solution helps explain why ''ghost neutrino'' solutions appear. In Chapter I, ''ghost neutrinos'' (neutrinos with zero energy-momentum tensor) are considered. Various problems are treated, including cosmological neutrinos, gravitational and electromagnetic waves near rotating black holes, and electromagnetic waves from pulsating stars and rotating stars. Part One of this dissertation concerns radiation in strong gravitational fields. Waveforms traveling along the coordinate axes without a backward tail are constructed. Propagation out of the singularity is seen to alter considerably amplitude and phase relationships between the fields. Exact solutions are given for waves propagating along the coordinate axes of the general Kasner spacetimes and along any direction in the flat Kasner spacetime. The high-frequency solutions for the fields are used to discuss the possible effects of anisotropy in the expansion of the universe after decoupling on polarization and intensity distributions of the microwave background. The ratio between energy and spin angular momentum for a single spectral component is found to be (k/sub i/k/sup i/)/sup 1/2/, which in the WKB limit is the angular frequency of the waves. The observable electric and magnetic fields are obtained referring F/sub munu/ to a suitable orthonormal tetrad and are shown to consist of a superposition of spectral components, each labeled by a set of parameters k/sub i/ and transverse to a time-varying direction more » specified by k/sub i//A/sub i/(t). The propagation problem is reduced to the integration of a second-order differential equation determining the time evolution of the F/sub munu/ tensor. An application of flat-space electromagnetism to pulsar astrophysics is = ,Ī general formalism is developed to deal with electromagnetic waves in a metric of the form -ds/sup 2/ = g/sub munu/dx/sup. A solution to the problem that the energy and linear momentum of such an extended system do not transform properly under Lorentz transformations is given. The electromagnetic properties of the classical electron modeled as a thin charged shell are also considered. The g-factor g, magnetic moment and angular momentum of such a shell are computed as a function of the charge-to-mass and radius-to-mass ratios. The electromagnetic properties of a slowly rotating charged thin shell (with charge density proportional to mass density) are considered in both curved and flat space.
A new method for classifying such schemes is presented and the Debye schemes are given, for the first time, with respect to an orthonormal tetrad (basis).
Several problems in curved-space and flat-space electromagnetism are discussed and resolved: use of the Hertz and Debye bivector potential schemes for the solution of Maxwell's equations for source-free electromagnetic test fields in general relativity is further developed.
0 kommentar(er)
