Higher-Dimensional Spacetime and Gravity  

In General
* Types: Theories with small, compact extra dimensions (as in the Kaluza-Klein and Jordan theories), for a minimum of 5 for unification of gravity and electromagnetism, and at least 11 to include the symmetry group of the standard model; Theories with "large" extra dimensions (as in brane world scenarios); Theories with non-compactified extra dimensions (as in the Randall-Sundrum variant of brane models); In string theory there are 10 or 11 dimensions; Universal extra dimensions, in which all matter fields propagate in the bulk.
@ Overviews, history: Arkani-Hamed et al SA(00)aug; Deser phy/04-proc; Halpern 04; Krauss 05; Kumar & Suresh gq/05; Sundrum ht/05-ln; Sakellariadou ht/07-conf [rev, various theories]; Wesson 07; Dadhich a0902-talk, a1105-proc; Agashe & Pomarol NJP(10)focus; Bronnikov & Rubin 12 [III]; Witten a1401-conf [Einstein, Bergmann, and the fifth dimension]; Wesson IJMPD(15)-a1412 [status]; Emparan & Herzog a2003-RMP [rev]; > s.a. history of relativistic gravity.
@ Books, I: Randall 05.
blue bullet Related topics: see phenomenology and tests; quantum spacetime; unified theories.

Formulations, Theoretical Settings > s.a. asymptotic flatness; energy-momentum tensor.
@ General references: Madore & Mourad PLB(95)ht [simulated by quantum fluctuations]; Giddings & Myers PRD(04)ht [decompactification]; Zanelli ht/05-ln [Chern-Simons (super)gravity]; Han et al MPLA(05)gq [Palatini form]; Mankoč Borštnik & Nielsen PLB(07)ht/06 [and fermions with no fundamental charges]; Randall PT(07)jul [the case for]; Durkee PhD(11)-a1104 [results on higher-dimensional spacetimes]; Bodendorfer et al CQG(13)-a1105 [connection formulation, Lagrangian]; Dadhich a1210-proc; Ortaggio & Pravdová JPCS(15)-a1502 [fall-off rates of electromagnetic and gravitational fields]; Chakraborty & Dadhich EPJC(18)-a1607 [4D Einstein gravity and 7D pure Gauss-Bonnet gravity].
@ Hamiltonian formulation: Nieto CQG(05)ht/04 [7+1 connection formulation]; Nieto GRG(07) [12D, self-dual]; Ashtekar & Sloan CQG(08)-a0808 [first-order framework]; Bodendorfer et al CQG(13)-a1105 [connection formulation], CQG(13)-a1105 [with fermionic matter]; Venkatesh a1305 [loop variables]; Debnath et al PRD(14)-a1408 [R2 gravity]; Nieto MPLA(16)-a1608 [8D, self-dual].
@ Gravity: Troncoso & Zanelli CQG(00)ht/99 [and torsion]; Ootsuka et al CQG(04)gq/03 [chiral]; Sher & Sullivan AJP(06)feb [scale dependence].
@ Large extra dimensions: Shifman IJMPA(10).
@ Extra timelike dimensions: Erdem & Un EPJC(06)hp/05 [phenomenology]; Sparling gq/06, gq/06, PRS(07); Quirós a0706, a0707 [causality and unitarity not violated]; Ivashchuk a0905-conf [Newton's law of gravity]; > s.a. kaluza-klein theory; time [two-time physics].
@ Projective: Fauser GRG(01)gq/00 [status]; Schmutzer GRG(01) [cosmology and astrophysics]; Gorbatsievich GRG(01) [axiomatics].
@ Other types: Zumino PRP(86); Mignemi GRG(90) [SO(1, N−1) × SO(KN), chiral fermions ok]; Freidel et al ATMP(99)ht [BF-like]; Bjerrum-Bohr NPB(04)ht/03, Emparan et al JHEP(13)-a1302 [high-D limit]; Anabalón et al PRD(07)ht/06 [5D Einstein-Hilbert + Gauss-Bonnet → 4D gauged WZW], JPA(08); Han et al MPLA(14)-a1304 [scalar-tensor theories, connection dynamics].
@ Fuzzy extra dimensions: Aschieri et al a0704-conf; Chatzistavrakidis et al PoS-a1102 [and particle-physics models].
@ Other generalized settings: Vacaru IJTP(12)-a1004 [non-integer dimensions]; Chamseddine et al JMP(13)-a1201 [discrete extra dimensions, dimensional reduction and emerging of axion, dilaton, and Higgs fields]; > s.a. modified electromagnetic theory.
@ String theory: Faraggi ht/05-proc [fictitious dimensions]; > s.a. string theory and phenomenology.
@ Supersymmetric: Callin & Burgess NPB(06) [and modified Newtonian gravity].
> Examples: see branes; kaluza-klein theory; models of dynamical spacetime [reduction]; supergravity.

Theoretical Consequences and Effects > s.a. equivalence principle; gravitational collapse.
@ Dimensional reduction: Carroll & Tam PRD(08)-a0802 [aether compactification]; Capozziello et al a1205-in [obtaining 4D Extended Theories of Gravity, and experiment]; Wesson a1205 [and 4D phenomenology, cosmological constant, wave-particle duality]; Mureika & Nicolini EPJP(13)-a1206 [and self-completeness of gravity in d > 3 dimensions]; Izaurieta & Rodríguez CQG(13)-a1207 [5D Einstein-Gauss-Bonnet gravity].
@ Instabilities: Mignemi GRG(89) [SO(1, N−1) × SO(KN)]; Carroll et al PRD(02); Giddings PRD(03)ht; Dine et al JHEP(04)ht [and supersymmetry breaking]; > s.a. branes; kaluza-klein theory; Radion Field.
@ And origin of matter: Dadhich & Maeda IJMPD(08)-a0705-in [Einstein-Gauss-Bonnet gravity].
> Other issues: see initial-value formulation; quantum cosmology; spin coefficients [GHP formalism].

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