Conformal regularization of Einstein's field equations

@article{Rohr2005ConformalRO,
  title={Conformal regularization of Einstein's field equations},
  author={N. Rohr and C. Uggla},
  journal={Classical and Quantum Gravity},
  year={2005},
  volume={22},
  pages={3775-3787}
}
To study asymptotic structures, we regularize Einstein's field equations by means of conformal transformations. The conformal factor is chosen so that it carries a dimensional scale that captures crucial asymptotic features. By choosing a conformal orthonormal frame, we obtain a coupled system of differential equations for a set of dimensionless variables, associated with the conformal dimensionless metric, where the variables describe ratios with respect to the chosen asymptotic scale… Expand
22 Citations
Encoding cosmological futures with conformal structures
  • 8
  • PDF
Dimensional analysis in relativity and in differential geometry
  • PDF
SPACETIME SINGULARITIES: RECENT DEVELOPMENTS
  • 5
  • PDF
Future asymptotics of tilted Bianchi type II cosmologies
  • 10
  • PDF
Dynamics of the spatially homogeneous Bianchi type I Einstein-Vlasov equations
  • 30
  • PDF
Recent developments concerning generic spacelike singularities
  • 16
  • PDF
Asymptotic silence-breaking singularities
  • 25
  • PDF
...
1
2
3
...

References

SHOWING 1-10 OF 24 REFERENCES
The Past attractor in inhomogeneous cosmology
  • 108
  • PDF
Causal propagation of geometrical fields in relativistic cosmology
  • 24
  • PDF
Asymptotic self-similarity breaking at late times in cosmology
  • 89
  • PDF
Asymptotic isotropization in inhomogeneous cosmology
  • 43
  • PDF
Self-similar spacetimes: Geometry and dynamics
  • 159
...
1
2
3
...