de
Sitter Spacetime| de
Sitter Spacetime |
In General > s.a. Anti-de Sitter; AdS-cft [including
dS-cft]; cosmological
constant.
$ Def: A cosmological
solution of Einstein's equation, with positive cosmological constant (for 
< 0,
see > Anti-de
Sitter) and line element
ds2 = –dt2 + H–2 cosh2(Ht)
d
2, with H2
= /3 , amin
= H–1 = (3/)1/2,
the geometry of a Lorentz hyperboloid in 5D Minkowski space; The symmetry
group is SO(4,1) (de Sitter group).
* Topology: R ×
S3, spatially compact [@ Mitskevich & Senin
SPD(82)].
* Infinity: 
+/– are
spacelike; It has future and past event and particle horizons.
@ General references: in Schrödinger 56; Spradlin et al ht/01-ln;
Bousso ht/02-in
[quantum aspects]; Kim et al ht/02 [classical,
rev]; Schmidt AHA(05)gq [history].
@ Description: Parikh PLB(02) [new coordinates].
@ In quantum gravity: Bousso PRD(99)
[1-loop]; Witten ht/01-in;
Klemm & Vanzo JCAP(04)ht ["quantum
gravity
in dS space"]; Giddings & Marolf PRD(07)-a0705; > s.a. quantum
cosmology.
@ Related topics: Parikh
et
al PRD(03)ht/02 [elliptic,
dS/Z2]; Aledo & Romero
DG&A(03)
[3D, compact space]; McInnes
JHEP(03)ht [S3 vs RP3];
> s.a. Hypersurfaces.
Phenomenology > s.a. inflation; radiation.
* Entropy: Can be associated
with the horizon, and in 2+1 calculated
using
Carlip's SL(2, C) Chern-Simons theory method.
@ Thermodynamics: Maldacena & Strominger JHEP(98)
[entropy]; Wang & Huang
MPLA(01)
[path integral approach]; Danielsson & Olsson JHEP(04)ht/03 [thermalization].
@ Stability:
Abbott & Deser NPB(82)
[canonical]; Faraoni PRD(05)gq,
Faraoni & Nadeau PRD(05)gq [in
modified gravity
and scalar-tensor]; Faraoni & Jensen CQG(06)gq
[criterion, and dark energy/scalar-tensor
gravity]; > s.a. semiclassical general relativity.
@ Analogs in condensed matter: Fedichev & Fischer PRL(03)cm [and
Hawking
radiation];
Weinfurtner
gq/04-in.
Fields and Particles > s.a. classical and quantum
particles;
quantum field theory in curved backgrounds and effects.
@ References: Woodard gq/04-in
[against de Sitter invariance in field theory]; Cheung et al a0709 [effective
field theory of inflationary
fluctuations]; Balakin et al a0710 [Einstein-Yang-Mills-Higgs,
non-minimal coupling].
> Types of fields:
see dirac
fields; fields
of arbitrary spin; klein-gordon.
Asymptotically de Sitter Spacetimes > s.a. black
hole solutions; causal structures [volumes
of causal intervals]; perturbations.
@ General references: Friedrich JGP(86);
Kastor & Traschen
CQG(02)ht [positive
energy]; Firouzjahi & Leblond JCAP(03)ht/02 [and
aAdS]; Faraoni PRD(04)gq [de Sitter
as
attractor for gravity theories]; Galloway gq/04-in
[conformal infty and singularities].
@ And matter fields: Medved CQG(02)ht [with
dust, and holography]; Leblond et al JHEP(03)ht/02 [massive
scalar fields].
@ Stability: Bruni et al CQG(02)
[second-order perturbations of FRW].
Generalizations > s.a. higher-order
theories; solutions
of general relativity [topology].
@ References: Giambò CQG(02) [anisotropic matter].
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Send feedback and suggestions to bombelli at olemiss.edu – Modified
10 jun 2008