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The wave equation on a curved spacetime

The wave equation on a curved spacetime,F. G. Friedlander

The wave equation on a curved spacetime   (Citations: 76)
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Published in 1975.
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    • ...Friedlander’s book [3] is devoted to an integral formulation of the solution for data on a light-cone using techniques due to Leray and Hadamard...

    Dietrich Hafneret al. The characteristic Cauchy problem for Dirac fields on curved backgroun...

    • ...However, we expect that these results can be generalised in the usual way; from the point of view of general relativity we can appeal to stronger theorems [31], [35] when we specialise to spaces with Lorentz signature...

    S. Brian Edgaret al. A weighted de Rham operator acting on arbitrary tensor fields and thei...

    • ...time [8]. To avoid introducing excessive complications in the present paper we have...
    • ...[8]. A more complete treatment of the reductions discussed here (which do not appear...
    • ...The theory developed in Friedlander’s book [8] (which builds on the fundamental...
    • ...Eq. (4.2.17) of [8] and given in local coordinates by Eq. (4.2.18) or (4.2.19) of that...
    • ...dual ∗v to av ectorv via Eq. (2.9.3) of Ref. [8] (see also p. 194 of this reference)...
    • ...Eq. (5.5.23) of Ref. [8]) which determines this quantity along Cp. Carrying out these operations and writing (V0) µν αβ (x, x )f or...

    Vincent Moncrief. Analytic reductions of self-force calculations in curved spacetimes

    • ...From the point of view of general relativity, we note: • We can appeal to stronger existence theorems [17] when we specialise to spaces with Lorentz signature, and the second order differential equations become wave equations...

    Brian Edgar. Proofs of existence of local potentials for trace-free symmetric 2-for...

    • ...However, as is usually the case, we expect that these results can be generalized, by using appropriate techniques of existence and uniqueness of solutions to differential equations, to the smooth case and even to spaces of low differentiability; from the point of view of general relativity, we can appeal to stronger theorems [8], [9] when we specialise to spaces with Lorentz signature, and the second order differential equations in the ...

    S. Brian Edgaret al. A local potential for the Weyl tensor in all dimensions

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