In General > s.a. [relativistic
cosmological models]; causality;
particle models; quantum
field theory in curved spacetime.
* Idea: A rotating cosmological
solution with pressure-free perfect fluid matter on an R4 manifold,
which shattered some preconceived ideas, since
the local definition of inertial frame disagrees with the global one; It violates
causality and is not time-orientable.
* Remark: A generalized
form, actually described originally by Gödel,
is a family of metrics with isometry group SO(2,1) × SO(2)
× R.
* Properties: It has
a 5-parameter group of isometries which acts transitively, and there are closed
timelike curves through all points; Any two points can be
joined by a timelike curve; There are no non-empty achronal sets.
* Metric: Constructed from Maurer-Cartan forms of a suitable Lie group,
ds2 = –dt2 +
dx2 –
exp{2
x}
dy2 +
dz2 –
2 exp{
x}
dt dy (partial)
,
with fluid 4-velocity u =
/
t;
=
const = magnitude of vorticity of ua,
4![]()
=
2.
References
@ General: Gödel RMP(49)
+ GRG(00),
in(52) + GRG(00);
Kundt ZP(56);
in Hawking & Ellis
73, 168–170;
Bonnor
et al CQG(98)gq/97 [exterior];
Nemeti et al a0811 [visualization];
Rindler in(09) + AJP(09)jun.
@ Energy and momentum: Dabrowski & Garecki CQG(02)gq/01, PRD(04)gq/03;
Sharif
IJMPA(03).
@ Light cones, causality: Pfarr GRG(81);
Malament JMP(87);
Ozsváth & Schucking AJP(03)aug;
Dautcourt
& Abdel-Megied CQG(06)gq/05;
Gleiser
et al CQG(06)gq/05 [closed
timelike curves];
Rosa & Letelier GRG(07)gq [stability
of closed timelike curves].
@ Related topics: Saha & Chowdhury
PS(00)
[geodesic deviation]; Barrow & Tsagas
CQG(04)gq/03 [stability];
Aydogdu & Salti gq/05-wd
[spin-1
particle creation]; Sahdev et al gq/06 ['travel
guide' and sketches]; Marecki gq/07 [wave
equation]; > s.a. diffusion.
Similar Solutions and Other Theories > s.a. black
holes in modified theories [5D Schwarzschild-Gödel]; branes.
@ 2+1: Harriott & Williams GRG(01)
[pfluid, with kink]; Sousa et al a0705 [classification
and properties]; Gürses a0812.
@ 5D: Rebouças & Teixeira JMP(98);
Behrndt & Pössel PLB(04)ht/03 [supergravity,
< 0].
@ Variations: Romano & Goebel GRG(03)
[with electromagnetic field]; Dryuma gq/05 [Riemann
extension]; > s.a. kerr-newman spacetime.
@ Chern-Simons-modified gravity: Konno et al PRD(08);
Furtado
et al PRD(09)-a0906; > s.a. higher-order
theories.
@ Other theories: Åman et al
CQG(98)gq/97,
Fonseca-Neto & Rebouças GRG(98)gq [Riemann-Cartan];
Barrow & Dabrowski PRD(98)
[low-energy string theory]; Ozsváth & Schücking
CQG(01)
[newtonian
analog]; Caldarelli & Klemm
CQG(04)ht/03 [4D,
supersymmetric]; Gürses et al CQG(05)ht/03,
& Sarioglu CQG(05)ht [various
dimensions];
Obukhov & Vargas
PLA(04)gq [teleparallel
gravity]; Gürses GRG(09)-a0801 [Einstein-Aether
theory]; Rebouças & Santos PRD(09)-a0906 [in f(R)
gravity].
main page – abbreviations – journals – comments – other
sites – acknowledgements
send feedback and suggestions to bombelli at olemiss.edu – modified 8
oct
2009