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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 quantumExpand
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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 withExpand
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Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate killing horizon
Abstract This paper is concerned with the study of quasifree states of a linear, scalar quantum field in globally hyperbolic spacetimes possessing a one-parameter group of isometries with a bifurcateExpand
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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, aExpand
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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 WickExpand
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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,Expand
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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 ifExpand
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General Relativity
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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,Expand
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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, oneExpand
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