scholarly journals Resolvent estimates for spacetimes bounded by Killing horizons

2019 ◽  
Vol 12 (2) ◽  
pp. 537-560 ◽  
Author(s):  
Oran Gannot
Keyword(s):  
Resolvent Estimates ◽  
Killing Horizons

ISOMETRY HORIZONS IN SPHERICALLY SYMMETRIC SPACE–TIMES

2006 ◽  
Vol 03 (05n06) ◽  
pp. 1263-1271
Author(s):  
J. SZENTHE
Keyword(s):  
Symmetric Space ◽  
Spherically Symmetric ◽  
Isometric Action ◽  
Event Horizons ◽  
Killing Horizons

Some event horizons in space–times that are invariant under an isometric action, considered first by Carter, are called isometry horizons, especially Killing horizons. In this paper, isometry horizons in spherically symmetric space–times are considered. It is shown that these isometry horizons are all Killing horizons.

scholarly journals Multiple Killing horizons

2018 ◽  
Vol 35 (15) ◽  
pp. 155015 ◽  
Author(s):  
Marc Mars ◽  
Tim-Torben Paetz ◽  
José M M Senovilla
Keyword(s):  
Killing Horizons

scholarly journals Eigenvalue bounds for non-selfadjoint Dirac operators

2021 ◽  
Author(s):  
Piero D’Ancona ◽  
Luca Fanelli ◽  
Nico Michele Schiavone
Keyword(s):  
Dirac Operator ◽  
Discrete Spectrum ◽  
Complex Plane ◽  
Dirac Operators ◽  
Resolvent Estimates ◽  
Eigenvalue Bounds ◽  
Mixed Norms ◽  
Massless Case ◽  
Abstract Version ◽  
Embedded Eigenvalues

AbstractWe prove that the eigenvalues of the n-dimensional massive Dirac operator $${\mathscr {D}}_0 + V$$ D 0 + V , $$n\ge 2$$ n ≥ 2 , perturbed by a potential V, possibly non-Hermitian, are contained in the union of two disjoint disks of the complex plane, provided V is sufficiently small with respect to the mixed norms $$L^1_{x_j} L^\infty _{{\widehat{x}}_j}$$ L x j 1 L x ^ j ∞ , for $$j\in \{1,\dots ,n\}$$ j ∈ { 1 , ⋯ , n } . In the massless case, we prove instead that the discrete spectrum is empty under the same smallness assumption on V, and in particular the spectrum coincides with the spectrum of the unperturbed operator: $$\sigma ({\mathscr {D}}_0+V)=\sigma ({\mathscr {D}}_0)={\mathbb {R}}$$ σ ( D 0 + V ) = σ ( D 0 ) = R . The main tools used are an abstract version of the Birman–Schwinger principle, which allows in particular to control embedded eigenvalues, and suitable resolvent estimates for the Schrödinger operator.

scholarly journals Killing horizons and spinors

2014 ◽  
Vol 89 (10) ◽  
Author(s):  
Bruno Carneiro da Cunha ◽  
Amilcar de Queiroz
Keyword(s):  
Killing Horizons

Bifurcate Killing horizons

1979 ◽  
Vol 20 (7) ◽  
pp. 1345-1348
Author(s):  
J. G. Miller
Keyword(s):  
Killing Horizons

scholarly journals $N$ -body resolvent estimates

1996 ◽  
Vol 48 (1) ◽  
pp. 135-160 ◽  
Author(s):  
Christian GÉRARD ◽  
Hiroshi ISOZAKI ◽  
Erik SKIBSTED
Keyword(s):  
Resolvent Estimates
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