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Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics
In this book, Robert Wald provides a pedagogical introduction to the formulation of quantum field theory in curved spacetime. He begins with a treatment of the ordinary one-dimensional quantum
General definition of “conserved quantities” in general relativity and other theories of gravity
In general relativity, the notion of mass and other conserved quantities at spatial infinity can be defined in a natural way via the Hamiltonian framework: Each conserved quantity is associated with
Local symmetries and constraints
The general relationship between local symmetries occurring in a Lagrangian formulation of a field theory and the corresponding constraints present in a phase space formulation are studied. First, a
Black hole in a uniform magnetic field
Using the fact that a Killing vector in a vacuum spacetime serves as a vector potential for a Maxwell test field, we derive the solution for the electromagnetic field occurring when a stationary,
Quantum Field Theory in Curved Spacetime
We review the mathematically rigorous formulation of the quantum theory of a linear field propagating in a globally hyperbolic spacetime. This formulation is accomplished via the algebraic approach,
Local Wick Polynomials and Time Ordered Products¶of Quantum Fields in Curved Spacetime
Abstract: In order to have well defined rules for the perturbative calculation of quantities of interest in an interacting quantum field theory in curved spacetime, it is necessary to construct Wick
Theorems on gravitational time delay and related issues
Two theorems related to gravitational time delay are proven. Both theorems apply to spacetimes satisfying the null energy condition and the null generic condition. The first theorem states that if
DYNAMICS IN NONGLOBALLY HYPERBOLIC, STATIC SPACE-TIMES
Ordinary Cauchy evolution determines a solution of a partial differential equation only within the domain of dependence of the initial data surface. Hence, in a nonglobally hyperbolic space‐time, one
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