# Regularity of the Einstein equations at future null infinity

@inproceedings{Moncrief2009RegularityOT, title={Regularity of the Einstein equations at future null infinity}, author={Vincent Moncrief and Oliver Rinne}, year={2009} }

When Einstein's equations for an asymptotically flat, vacuum spacetime are reexpressed in terms of an appropriate conformal metric that is regular at (future) null infinity, they develop apparently singular terms in the associated conformal factor and thus appear to be ill-behaved at this (exterior) boundary. In this paper however we show, through an enforcement of the Hamiltonian and momentum constraints to the needed order in a Taylor expansion, that these apparently singular terms are not… CONTINUE READING

Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv

#### Citations

##### Publications citing this paper.

SHOWING 1-10 OF 28 CITATIONS

## Global simulations of Minkowski spacetime including spacelike infinity

VIEW 8 EXCERPTS

CITES METHODS & BACKGROUND

HIGHLY INFLUENCED

## Evolution of the Einstein Equations to Future Null Infinity

VIEW 5 EXCERPTS

CITES METHODS & BACKGROUND

## Numerical and analytical methods for asymptotically flat spacetimes

VIEW 9 EXCERPTS

CITES BACKGROUND & METHODS

## Hyperboloidal Einstein-matter evolution and tails for scalar and Yang-Mills fields

VIEW 10 EXCERPTS

CITES METHODS & BACKGROUND

## Tetrad formalism for numerical relativity on conformally compactified constant mean curvature hypersurfaces

VIEW 8 EXCERPTS

CITES BACKGROUND, METHODS & RESULTS

HIGHLY INFLUENCED

## An axisymmetric evolution code for the Einstein equations on hyperboloidal slices

VIEW 10 EXCERPTS

CITES METHODS & BACKGROUND

## Outer Boundary Conditions in Numerical Relativity

VIEW 5 EXCERPTS

CITES BACKGROUND

HIGHLY INFLUENCED

## Superradiance of a charged scalar field coupled to the Einstein-Maxwell equations

VIEW 3 EXCERPTS

CITES METHODS & BACKGROUND

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 11 REFERENCES

## Elliptic-Hyperbolic Systems and the Einstein Equations

VIEW 3 EXCERPTS

## Hyperboloidal evolution with the Einstein equations

VIEW 1 EXCERPT

## Future Complete Vacuum Spacetimes

VIEW 1 EXCERPT

## The global non-linear stability of Minkowski space

VIEW 1 EXCERPT

## Asymptotic Structure of Space-Time

VIEW 2 EXCERPTS