Part III
Green’s Functions
12
Scalar Green’s functions in flat spacetime
12.1
Green’s equation for a massive scalar field
12.2
Integration over the source
12.3
Singular part of
12.4
Smooth part of
12.5
Advanced distributional methods
12.6
Alternative computation of the Green’s functions
13
Distributions in curved spacetime
13.1
Invariant Dirac distribution
13.2
Light-cone distributions
14
Scalar Green’s functions in curved spacetime
14.1
Green’s equation for a massless scalar field in curved spacetime
14.2
Hadamard construction of the Green’s functions
14.3
Reciprocity
14.4
Kirchhoff representation
14.5
Singular and regular Green’s functions
14.6
Example: Cosmological Green’s functions
15
Electromagnetic Green’s functions
15.1
Equations of electromagnetism
15.2
Hadamard construction of the Green’s functions
15.3
Reciprocity and Kirchhoff representation
15.4
Relation with scalar Green’s functions
15.5
Singular and regular Green’s functions
16
Gravitational Green’s functions
16.1
Equations of linearized gravity
16.2
Hadamard construction of the Green’s functions
16.3
Reciprocity and Kirchhoff representation
16.4
Relation with electromagnetic and scalar Green’s functions
16.5
Singular and regular Green’s functions
Living Rev. Relativity
14, (2011), 7
http://www.livingreviews.org/lrr-2011-7
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