General Relativistic Scalar Field Models in the Large
arXiv:gr-qc/9408012 · doi:10.1088/0264-9381/12/3/016
Abstract
For a class of scalar fields including the massless Klein-Gordon field the general relativistic hyperboloidal initial value problems are equivalent in a certain sense. By using this equivalence and conformal techniques it is proven that the hyperboloidal initial value problem for those scalar fields has an unique solution which is weakly asymptotically flat. For data sufficiently close to data for flat spacetime there exist a smooth future null infinity and a regular future timelike infinity.
22 pages, latex, AGG 19
References in corpus (1)
Cited by in corpus (14)
- Energy conditions in general relativity and quantum field theory
- A conformal approach for the analysis of the non-linear stability of pure radiation cosmologies
- Numerical treatment of the hyperboloidal initial value problem for the vacuum Einstein equations. II. The evolution equations
- Hyperboloidal Einstein-matter evolution and tails for scalar and Yang-Mills fields
- An axisymmetric evolution code for the Einstein equations on hyperboloidal slices
- Singularity theorems from weakened energy conditions
- A Method for Calculating the Structure of (Singular) Spacetimes in the Large
- How to Avoid Artificial Boundaries in the Numerical Calculation of Black Hole Spacetimes
- On asymptotically flat solutions of Einstein's equations periodic in time II. Spacetimes with scalar-field sources
- Numerical Calculation of Conformally Smooth Hyperboloidal Data
- Evolution of scalar fields surrounding black holes on compactified constant mean curvature hypersurfaces
- More about Vacuum Spacetimes with Toroidal Null Infinities
- Conformal scalar fields, isotropic singularities and conformal cyclic cosmologies
- A comment on positive mass for scalar field sources