Spectral asymptotics on stationary space-times

Author:

Strohmaier Alexander1,Zelditch Steve2

Affiliation:

1. School of Mathematics, University of Leeds, Leeds, LS2 9JT, UK

2. Department of Mathematics, Northwestern University, Evanston, IL 60208-2370, USA

Abstract

We review our recent relativistic generalization of the Gutzwiller–Duistermaat–Guillemin trace formula and Weyl law on globally hyperbolic stationary space-times with compact Cauchy hypersurfaces. We also discuss anticipated generalizations to non-compact Cauchy hypersurface cases.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The Lorentzian scattering rigidity problem and rigidity of stationary metrics;The Journal of Geometric Analysis;2024-06-24

2. A Gutzwiller Trace Formula for Dirac Operators on a Stationary Spacetime;The Journal of Geometric Analysis;2022-12-19

3. Dynamical residues of Lorentzian spectral zeta functions;Journal de l’École polytechnique — Mathématiques;2022-08-12

4. The Light Ray Transform in Stationary and Static Lorentzian Geometries;The Journal of Geometric Analysis;2020-04-27

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