Research Group in General Relativity
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Transcript of Research Group in General Relativity
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geodesic conformally flat rotating fluid
Robinson-Trautman
cosmological constant
anti-Newtonian universes do not exist
irrotational dust
initial value problem
Ricci-Bianchi equations covariantpropagation constraint
equations
initial hypersurfaces
gravito-electro-magnetism
tidal effects
consistency conditions dynamical variables
spatially homogeneous cosmologies
Szekeres
Petrov classification
RicciRiemann curvature silent
universes
flow lineslinearisation instability
normalized timelike four-velocity
expansion scalar
Bianchi identities
gravito-magnetic monopoles
Geroch-Held-Penrose formalism
Newman - Penrose equations
vanishing Cotton tensor
orthonormal tetrad approach
Karlhede formalism
Petrov type D pure radiation fields
null congruence
Raychaudhuri-equation
non-diverging vectorfield
Goldberg-Sachs theorem
principal null directions
diverging Einstein-Maxwell null fields
Rainich conditions
isometry group
Killing v
ecto
rs
pure radiation
non-twisting null geodesics
Bianchi type VI0 cosmological model
Arianrhod-McIntosh
normalgeodesic flow
gravitational waves
LRS
locally rotationally symmetric spacetimes
Gödel metric
stationary axisymmetric perfect fluid
Petro
v
Type I
pp- waves
Segré type
geodesic deviation equation
plane waves
PMpf’s
Levi-Civita connection
Ricci-rotation coefficients Jacobi identities
Cartan equations
shear-eigenframekinematically homogeneous perfect fluids
canonical quantization
AD
M fo
rmalism
Ashtekar variables
diffeomorphism invarianceHamiltonian constraint
expanding perfect fluid generalizations of the C-metric
Palatini variational principle
Brans-Dicke theory
differentially rotating charged dust
Conformally Ricci Flat Perfect Fluids
observational homogeneity of the universe
classification
E = M
c 2
spacetimes admitting Killing two-spinors
inhomogeneous stiff fluid cosmologies
embedding class- 2 vacua
Petrov type I silent universes with G3
isometry group
Plebanski formalism
twistor equationKilling-Yano tensors Hamilton-Jacobi separability
Penrose -Floyd tensor
OSH
Bianchi VIIIquadratic first integrals
Friedmann equation
connection one-forms
CKT
Weyl-spinor
why study exact solutions?
Hauser - Malhiot
polynomial
scalar invariants
Jebsen –
Birkhoff
conformastationary vacua
G3
on T2
type
D
Vanishing magnetic curvature
PEpf
the mag-vac conjecture
’
- - Robinson - Walker universe
ketje & grote meneer
Einstein spaces
LRS II
Einstein - Hilbert action
ADM
Fröbenius theorem
Lorentzian Gromov-Hausdorff theory
a new topolgy on the space of Lorentzian metrics
optical scalars
Vaidya metric
spin foam
’
special conformal Killing tensors
bivecto
rs
light cone
spatialinfinity
Tolman dust
asymptotic flatness
EPS
Penrose
Weyl tensor
Cauchy
horizonB K
L
MOTS
non-abelian G2
cosmictopology
KSMH
singularities
diagram
Members:David Beke, Liselotte De Groote, Hamid Reza Karimian, Norbert Van den Bergh, Lode Wylleman
models