Journal ArticleDOI
The Dirac equation in Robertson–Walker spaces: A class of solutions
M. Kovalyov,M. Légaré +1 more
TLDR
In this article, exact solutions of the Dirac equation in open and closed Robertson-Walker spaces are presented, and a set of massive solutions for static metrics is given for the case of nontrivial and arbitrary expansion factors.Abstract:
Exact solutions of the Dirac equation in open and closed Robertson–Walker spaces are presented. A set of massive solutions is given for static metrics. In the case of nontrivial and arbitrary expansion factors, massless solutions are obtained via a conformal transformation. The set of massless solutions in open Robertson–Walker spaces is shown to be complete.read more
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Journal ArticleDOI
Spinors, Inflation, and Non-Singular Cyclic Cosmologies
TL;DR: In this article, toy cosmological models in which a classical, homogeneous, spinor field provides a dominant or sub-dominant contribution to the energy-momentum tensor of a flat Friedmann-Robertson-Walker universe were considered.
Journal ArticleDOI
Spinors, Inflation, and Non-Singular Cyclic Cosmologies
TL;DR: In this article, toy cosmological models in which a classical, homogeneous, spinor field provides a dominant or sub-dominant contribution to the energy-momentum tensor of a flat Friedmann-Robertson-Walker universe were considered.
Journal ArticleDOI
Exact solutions to Elko spinors in spatially flat Friedmann-Robertson-Walker spacetimes
TL;DR: In this paper, exact solutions to the so-called Elko spinors for three models of expanding universe, namely the de Sitter, linear and the radiation type evolution, were presented.
Journal ArticleDOI
Exact Solution of Photon Equation in Stationary G\"{o}del-type and G\"{o}del Space-Times
Ali Havare,Taylan Yetkin +1 more
TL;DR: In this article, the photon equation (massless Duffin-Kemmer-Petiau equation) is written expilicitly for general type of stationary G\"{o}del space-times and is solved exactly for G''{ o}del-type and G ''{ o''del space times.
Journal ArticleDOI
Exact solution of the photon equation in stationary Gödel-type and Gödel spacetimes
Ali Havare,Taylan Yetkin +1 more
TL;DR: In this paper, the photon equation (massless Duffin-Kemmer-Petiau equation) is solved explicitly for the general type of stationary Godel spacetimes.
References
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Book
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TL;DR: In this paper, the authors discuss the General Theory of Relativity in the large and discuss the significance of space-time curvature and the global properties of a number of exact solutions of Einstein's field equations.
Book
Graduate Texts in Mathematics
Rajendra Bhatia,Glen Bredon,Wolfgang Walter,Joseph J. Rotman,M. Ram Murty,Jane Gilman,Peter Walters,Martin Golubitsky,Ioannis Karatzas,Henri Cohen,Raoul Bott,Gaisi Takeuti,Béla Bollobás,John M. Lee,Jiří Matoušek,Saunders Mac Lane,John L. Kelley,B. A. Dubrovin,Tom M. Apostol,John Stillwell,William Arveson +20 more
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Quantized fields and particle creation in expanding universes. ii.
TL;DR: In this article, the authors show that the particle number is an adiabatic invariant, but not a strict constant of the motion, and show that particle creation occurs in pairs.
Journal Article
Analysis, manifolds and physics
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