35 citations · 89 across the 15 of their papers we have counts for
12 papers · 1 filter
Wick rotation of linearized gravity in Gaussian time and Calderón projectors
Christian Gérard, Simone Murro, Michał Wrochna
Motivated by the quantization of linearized gravity, we consider gauge-fixed linearized Einstein equations and their Wick rotation near a Cauchy surface. We show that Calderón proj…
The Unruh state for massless fermions on Kerr spacetime and its Hadamard property
Christian Gérard, Dietrich Häfner, Michał Wrochna
We give a rigorous definition of the Unruh state in the setting of massless Dirac fields on slowly rotating Kerr spacetimes. In the black hole exterior region, we show that it is a…
The Hartle-Hawking-Israel state on stationary black hole spacetimes
Christian Gérard
We consider a free quantized Klein-Gordon field in a spacetime (M, g) containing a stationary black hole, more precisely a spacetime with a stationary bifurcate Killing horizon in…
On the Hartle-Hawking-Israel states for spacetimes with static bifurcate Killing horizons
Christian Gérard
We revisit the construction by Sanders [S1] of the Hartle-Hawking-Israel state for a free quantum Klein-Gordon field on a spacetime with a static, bifurcate Killing horizon and a w…
Feynman propagators and Hadamard states from scattering data for the Klein-Gordon equation on asymptotically Minkowski spacetimes
Christian Gérard, Michal Wrochna
We consider the massive Klein-Gordon equation on a class of asymptotically static spacetimes. We prove the existence and Hadamard property of the in and out states constructed by s…
Construction of Hadamard states by characteristic Cauchy problem
Christian Gérard, Michał Wrochna
We construct Hadamard states for Klein-Gordon fields in a spacetime equal to the interior of the future lightcone from a base point in a globally hyperbolic spaceti…