The Scalar Wave Equation on Static De Sitter and Anti-de Sitter Spaces
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Abstract: (IOP)
Exact solutions to the scalar wave equation are given on a de Sitter (dS) and anti-de Sitter (AdS) background with static metric, for arbitrary dimensions d. In particular in the case of dS space the boundary conditions at the horizon are in agreement with the Hawking effect (1975) and the solutions form a complete set of physical modes.- SPACE-TIME: DE SITTER
- Einstein equation
- FIELD EQUATIONS: SOLUTION
- FIELD THEORY: SCALAR
- RADIATION: HAWKING
- GROUP THEORY: SO(3,2)
- GROUP THEORY: SO(4,1)
- GROUP THEORY: REPRESENTATION
- OPERATOR: CASIMIR
- TRANSFORMATION: ASYMPTOTIC BEHAVIOR
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