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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 covariant propagation constraint equations initial hypersurfaces gravito-electro-magnetism tidal effects consistency conditions dynamical variables spatially homogeneous cosmologies Szekeres Petrov classification Ricci Riemann curvature silent universes flow lines linearisation 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 vectors pure radiation non-twisting null geodesics Bianchi type VI 0 cosmological model Arianrhod-McIntosh normal geodesic flow gravitational waves LRS locally rotationally symmetric spacetimes Gödel metric stationary axisymmetric perfect fluid Petrov Type I pp- waves Segré type geodesic deviation equation plane waves PMpf’ s Levi-Civita connection Ricci-rotation coefficients Jacobi identities Cartan equations shear-eigenframe kinematically homogeneous perfect fluids canonical quantization A DM f or mal is m Ashtekar variables diffeomorphism invariance Hamiltonian constraint expanding perfect fluid generalizations of the C-metric Palatini variational principle Brans- Dicke theory different ially 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 G 3 isometry group Plebanski formalism twistor equ ation Killing-Yano tensors Hamilton- Jacobi separability Penrose - Floyd tensor OSH Bianchi VIII quadratic first integrals Friedmann equation connection one-forms CKT Weyl- spinor why study exact solutions? Hauser - Malhiot polynomial scalar invariants Jebsen Bir kh o ff conformastationary vacua G 3 on T 2 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 bivector s light cone spatial infinity Tolman dust asymptotic flatness EPS Penrose Weyl tensor C a u c hy hor iz on B K L MOTS non- abelian G 2 cosmic topology KSMH singularities diagram Members: avid Beke, Liselotte De Groote, Hamid Reza Karimian, Norbert Van den Ber Lode Wylleman models

Research Group in General Relativity

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Research Group in General Relativity. Ghent University, Dept. of Mathematical Analysis, Galglaan 2, 9000 Ghent. geodesic conformally flat. rotating fluid. Penrose. flow lines. diagram. asymptotic flatness. linearisation instability. integrability conditions. kinematical quantities. - PowerPoint PPT Presentation

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Page 1: Research Group in General Relativity

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