Nonexistence of Conformally Flat Slices in Kerr and Other Stationary Spacetimes

DOI10.1103/PhysRevLett.92.041101zbMath1267.83020arXivgr-qc/0310048OpenAlexW2064962927WikidataQ52002245 ScholiaQ52002245MaRDI QIDQ2837598

Juan Antonio Valiente Kroon

Publication date: 11 July 2013

Published in: Physical Review Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0310048

Mathematics Subject Classification ID

Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (16)

Cosmology in Painlevé-Gullstrand coordinates ⋮ Physically motivated ansatz for the Kerr spacetime ⋮ Does asymptotic simplicity allow for radiation near spatial infinity? ⋮ THE INITIAL VALUE PROBLEM IN NUMERICAL RELATIVITY ⋮ The eye of the storm: a regular Kerr black hole ⋮ Constant-\(r\) geodesics in the Painlevé-Gullstrand form of Lense-Thirring spacetime ⋮ Self-interacting gravitational atoms in the strong-gravity regime ⋮ Generalized Painlevé-Gullstrand descriptions of Kerr-Newman black holes ⋮ Perturbative Solution of the Einstein Constraints with Spin and Momentum Far Away From a Binary Source in the Bowen‐York Formalism ⋮ Painlevé-Gullstrand coordinates versus Kerr spacetime geometry ⋮ Separable geodesic action slicing in stationary spacetimes ⋮ Numerical initial data deformation exploiting a gluing construction: I. Exterior asymptotic Schwarzschild ⋮ Conformally flat slices of asymptotically flat spacetimes ⋮ Darboux diagonalization of the spatial 3-metric in Kerr spacetime ⋮ Painlevé-Gullstrand coordinates for the Kerr solution ⋮ Fluid analogs for rotating black holes

Cites Work

• Gravitational fields near space-like and null infinity
• A new class of obstructions to the smoothness of null infinity
• The momentum constraints of general relativity and spatial conformal isometries
• Bondi-type systems near spacelike infinity and the calculation of the Newman–Penrose constants
• Initial data for stationary spacetimes near spacelike infinity
• Reliability of perturbation theory in general relativity
• Peeling properties of asymptotically flat solutions to the Einstein vacuum equations
• Early radiative properties of the developments of time-symmetric conformally flat initial data
• Asymptotically flat initial data with prescribed regularity at infinity.

This page was built for publication: Nonexistence of Conformally Flat Slices in Kerr and Other Stationary Spacetimes