5 papers
Sharp Tangential NEC Minimization and Israel Surface Layers in Schwarzschild Mass Interpolations
Changsun Choi, Ryan E. Grady
We study static, spherically symmetric metrics in Schwarzschild gauge whose mass function increases smoothly from to across an annulus outside the large…
Functoriality of the KSGNS Construction for Intertwiners of Strict Positive -Correspondences
Lucus Brady, Ryan Grady
We prove that the KSGNS construction can be viewed as an endofunctor on a category whose objects are positive -correspondences from a fixed -algebra and morphisms are giv…
Causally Disjoint Discs: Another -operad
Ryan Grady
Motivated by (perturbative) quantum observables in Lorentzian signature we define a new operad: the operad of causally disjoint disks. In order to describe this operad we use the o…
Adjoint L-Infinity Actions and Conserved Charges in GR
Changsun Choi, Ryan E. Grady
In this work we compute the conserved currents and charges associated to the action of an infinitesimal isometry (Killing field) in Einstein--Cartan--Palatini gravity. We offer a n…
DGLA Actions: An Application in GR
Ryan Grady
This note serves two purposes: 1) define actions by differential graded Lie algebras, and 2) apply such differential graded Lie symmetry in general relativity (GR) to constrain the…