Klein-Gordon Fields in Curved Spacetimes  

In General > s.a. causality violation; geometric phase; huygens' principle; Superradiance.
* Dynamics: Possible forms depend on a conformal parameter , and are given by

gab ab – (m2 + R) = 0 ,   from the Lagrangian    = – |g|1/2 [gab a b + (m2 + R) 2] ;

Minimal coupling corresponds to the value = 0; When m = 0, setting = (n–2)/4(n–1) (= 1/6 in 4D) with → 1–n/2 under g → 2g makes the equation conformally invariant.
@ General references: Castagnino & Ferraro PRD(89) [modes diagonalizing H]; Sonego & Faraoni CQG(93) [value of ]; Longhi & Materassi IJMPA(99) [global variables]; Strohmaier LMP(00)mp [globally hyperbolic, Cauchy problem]; Droz-Vincent CQG(01)gq/00 [mode solution]; Faraoni & Faraoni FP(02) [conformal transformation to potential-free form]; Vaidya & Sparling mp/02 [singular potential]; Poisson PRD(02)gq [weak curvature, radiative falloff].
@ Non-globally-hyperbolic: Wald JMP(80) [static, recovery of deterministic dynamics]; Vickers & Wilson gq/01 [with hypersurface singularities]; Ishibashi & Wald CQG(03)gq; Stalker & Tahvildar-Zadeh CQG(04)gq [supercharged Reissner-Nordström]; Seggev CQG(04)gq/03 [stationary].
@ Accelerated observer: Gerlach PRD(88); Tian et al gq/06 [Rindler].
@ Coupled to gravity: Clayton et al PLA(98)gq [stability]; Malik CQG(08)-a0712; > s.a. solutions of general relativity.

Specific Types of Backgrounds > s.a. wave equation.
@ Spherically symmetric: Couch & Torrence GRG(86), GRG(88) [transparent]; Bizon et al CQG(09) [late-time tails].
@ Schwarzschild: Couch JMP(81) [solutions, and higher spins]; Pravica PRS(99); Zecca NCB(00); Roszkowski CQG(01) [energy diffusion]; Koyama & Tomimatsu PRD(01)gq [tails]; Roszkowski CQG(01)ap; Weinstein NPPS(02)gq/01-in; Casadio & Luzzi PRD(06)ht [minimal coupling, method of comparison equations]; Dafermos & Rodnianski a0811-ln [and other black-hole backgrounds].
@ Reissner-Nordström: Ori PRD(98)gq/97 [massless]; Koyama & Tomimatsu PRD(01)gq/00 [tails]; Xue et al PRD(02)ht [numerical]; Crispino et al PRD(09)-a0904 [massless].
@ Kerr: Couch JMP(85) [and higher spins]; Ori PRD(98) [massless]; Scheel et al PRD(04)gq/03 [tails, numerical]; Strafuss & Khanna PRD(05)gq/04 [massive, instability]; Finster et al CMP(05) [propagator], CMP(06)gq/05 [decay of solutions]; Beyer & Craciun CQG(08)gq/06 [new symmetry]; Gleiser et al CQG(08)-a0710 [late-time tails]; Burko & Khanna CQG(09)-a0711 [2+1, tails]; Finster et al CMP(08) [decay]; Beyer JMP(09); Andersson & Blue a0908.
@ (Anti)-de Sitter: Torrence & Couch CQG(85) [no-scattering conditions]; Yagdjian & Galstian CMP(09) [fundamental solutions]; > s.a. BRST quantization.
@ Cosmological: Villalba & Isasi JMP(02)gq [with B field]; Silbergleit ap/02 [FRW spacetime, equation of state]; Alimohammadi & Vakili AP(04)gq/03 [constant curvature]; Kozlov & Volovich IJGMP(06)gq [finite-action]; Malik JCAP(07)ap/06 [perturbed FRW models, up to second-order]; Maciejewski et al gq/06 [global dynamics and chaos]; Copeland et al PRD(09)-a0904 [FRW spacetime].
@ Other backgrounds: Friedman & Morris CMP(97)gq/94 [with closed timelike curves]; Fewster CQG(99)gq/98, CQG(99)gq/98 [2D cylinder]; Harriott & Williams MPLA(01) [2+1, extended source]; Fernandes et al gq/07 [vacuumless defects]; Radu & Visinescu MPLA(07)-a0706 [generalized Kaluza-Klein monopole background].

Generalized Backgrounds
@ Discretizations: Dmitriev et al JPA(06) [non-linear, energy and linear momentum].
@ Other backgrounds: Bibikov & Prokhorov JPA(09) [Y-junction of three semi-infinite axes].

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