Compatibility Complex for Black Hole Spacetimes
Artikel i vetenskaplig tidskrift, 2021

The set of local gauge invariant quantities for linearized gravity on the Kerr spacetime presented by two of the authors (Aksteiner and Bäckdahl in Phys Rev Lett 121:051104, 2018) is shown to be complete. In particular, any gauge invariant quantity for linearized gravity on Kerr that is local and of finite order in derivatives can be expressed in terms of these gauge invariants and derivatives thereof. The proof is carried out by constructing a complete compatibility complex for the Killing operator, and demonstrating the equivalence of the gauge invariants from Aksteiner and Bäckdahl (Phys Rev Lett 121:051104, 2018) with the first compatibility operator from that complex.

Författare

Steffen Aksteiner

Max-Planck-Gesellschaft

Lars Andersson

Max-Planck-Gesellschaft

Thomas Bäckdahl

Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori

Max-Planck-Gesellschaft

Igor Khavkine

Czech Academy of Sciences

Bernard Whiting

University of Florida

Communications in Mathematical Physics

0010-3616 (ISSN) 1432-0916 (eISSN)

Vol. In Press

Ämneskategorier

Algebra och logik

Geometri

Matematisk analys

DOI

10.1007/s00220-021-04078-y

Mer information

Senast uppdaterat

2021-05-25