MG13 - Talk detail |
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Participant |
Jamal, Sameerah | |||||||
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Institution |
University of the Witwatersrand, Johannesburg - 1 Jan Smuts Avenue - Johannesburg - Gauteng - South Africa | |||||||
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Session |
GT1 |
Accepted |
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Time |
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Talk |
Oral abstract |
Title |
Exact solutions for the (1+3) Klein-Gordon equation in de Sitter space-times | |||||
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Abstract |
Equations on curved manifolds display many interesting properties. In particular, the symmetries and, therefore, the conservation laws reduce depending on how curved the manifold is. Of particular interest are the wave and Klein-Gordon equations. We compliment the analysis by K. Yagdjian and A. Galstian, “Fundamental Solutions for the Klein-Gordon Equation in de Sitter Spacetime”, Communications in Mathematical Physics, 285, (2009), pp. 293-344. Using the symmetry generators, we classify and reduce the underlying equations and show how this process may lead to exact solutions by quadratures. |
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