A New Approach to Kinematic Cosmology—(B)
- 1 September 1946
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 70 (5-6), 410-425
- https://doi.org/10.1103/physrev.70.410
Abstract
Maxwell's equations, Lorentz's equations of motion, and Dirac's equations are investigated on a cosmological background. Maxwell's equations are conform invariant and the equations of motion can easily be made conform invariant. Then, without introducing any new assumptions, Dirac's equations are seen to be conform invariant. In open universes the solutions of Maxwell's and Dirac's equations are the same as in flat Minkowski space. The behavior of these equations is different in closed universes by reasons of topology. In closed universes both Maxwell's and Dirac's equations provide new eigenvalue problems. Dirac's equations exhibit a marked difference between an elliptic and a spherical closed universe.Keywords
This publication has 9 references indexed in Scilit:
- A New Approach to Kinematic CosmologyPhysical Review B, 1945
- On a New Treatment of Some Eigenvalue ProblemsPhysical Review B, 1941
- The Equations of Motion in ElectrodynamicsPhysical Review B, 1940
- Classical theory of radiating electronsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1938
- Die Mehrdeutigkeit der WellenfunktionAnnalen der Physik, 1938
- Quantum Equations in Cosmological SpacesPhysical Review B, 1937
- Wave Equations in Conformal SpaceAnnals of Mathematics, 1936
- Über elektromagnetische Wellen im Friedmannschen RaumThe European Physical Journal A, 1936
- A Conformal Wave EquationProceedings of the National Academy of Sciences, 1935