Mathematics – Logic
Scientific paper
Jul 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978rspsa.362..233w&link_type=abstract
Royal Society (London), Proceedings, Series A - Mathematical and Physical Sciences, vol. 362, no. 1709, July 21, 1978, p. 233-24
Mathematics
Logic
5
Big Bang Cosmology, Gravitational Waves, Green'S Functions, Universe, Wave Equations, Boundary Value Problems, Einstein Equations, Electromagnetic Fields, Maxwell Equation, Propagation Modes, Wave Propagation
Scientific paper
The use of the Green's function to study the effect of the rapid expansion of the universe on wave phenomena is discussed. The Green's function associated with the wave equation governing each phenomenon is composed of both a singular term governing propagation with the characteristic speed and a regular term which governs any propagation with lesser speeds. In the framework of the cosmological model of the early universe, the singular terms for both the electromagnetic and the gravitational Green's functions are determined, as is the regular term in the electromagnetic case. The regular term in the gravitational case is investigated, and its contribution to the gravitational potential is evaluated. The initial-value problem for gravitational waves in the model is solved in a closed form.
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