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On the Rigidity Theorem for Spacetimes with a Stationary Event Horizon or a...

Abstract:We consider smooth electrovac spacetimes which represent either (A) an asymptotically flat, stationary black hole or (B) a cosmological spacetime with a compact Cauchy horizon ruled by closed...

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Morse Theory and Infinite Families¶of Harmonic Maps Between Spheres

Abstract: Existence of an infinite sequence of harmonic maps between spheres of certain dimensions was proven by Bizoń and Chmaj. This sequence shares many features of the Bartnik–McKinnon sequence of...

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BOOK REVIEW: Einstein's Field Equations and their Physical Implications....

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Local Wick Polynomials and Time Ordered Products¶of Quantum Fields in Curved...

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...

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The Thermodynamics of Black Holes

AbstractWe review the present status of black hole thermodynamics. Our review includes discussion of classical black hole thermodynamics, Hawking radiation from black holes, the generalized second law,...

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Existence of Local Covariant Time Ordered Products of Quantum Fields in...

Abstract: We establish the existence of local, covariant time ordered products of local Wick polynomials for a free scalar field in curved spacetime. Our time ordered products satisfy all of the...

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Essay: An Alternative to Inflation

AbstractInflationary models are generally credited with explaining the large scale homogeneity, isotropy, and flatness of our universe as well as accounting for the origin of structure (i.e., the...

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On the Renormalization Group in Curved Spacetime

Abstract: We define the renormalization group flow for a renormalizable interacting quantum field in curved spacetime via its behavior under scaling of the spacetime metric, g→λ2g. We consider...

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Essay: Quantum Field Theory Is Not Merely Quantum Mechanics Applied to Low...

AbstractIt is commonly assumed that quantum field theory arises by applying ordinary quantum mechanics to the low energy effective degrees of freedom of a more fundamental theory defined at...

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The Thermodynamics of Black Holes

AbstractWe review the present status of black hole thermodynamics. Our review includes discussion of classical black hole thermodynamics, Hawking radiation from black holes, the generalized second law,...

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On the Editorship of the Journal of General Relativity and Gravitation

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A Higher Dimensional Stationary Rotating Black Hole Must be Axisymmetric

AbstractA key result in the proof of black hole uniqueness in 4-dimensions is that a stationary black hole that is “rotating”—i.e., is such that the stationary Killing field is not everywhere normal to...

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Quantum field theory in curved spacetime, the operator product expansion, and...

AbstractTo make sense of quantum field theory in an arbitrary (globally hyperbolic) curved spacetime, the theory must be formulated in a local and covariant manner in terms of locally measurable field...

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Axiomatic Quantum Field Theory in Curved Spacetime

AbstractThe usual formulations of quantum field theory in Minkowski spacetime make crucial use of features—such as Poincaré invariance and the existence of a preferred vacuum state—that are very...

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Introduction to Gravitational Self-Force

AbstractThe motion of a sufficiently small body in general relativity should be accurately described by a geodesic. However, there should be “gravitational self-force” corrections to geodesic motion,...

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Derivation of Gravitational Self-Force

AbstractWe analyze the issue of “particle motion” in general relativity in a systematic and rigorous way by considering a one-parameter family of metrics corresponding to having a body (or black hole)...

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The History and Present Status of Quantum Field Theory in Curved Spacetime

AbstractQuantum field theory in curved spacetime is the theory of quantum fields propagating in a classical curved spacetime. Here the spacetime is described, in accord with general relativity, by a...

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Stability of Black Holes and Black Branes

AbstractWe establish a new criterion for the dynamical stability of black holes in D≥ 4 spacetime dimensions in general relativity with respect to axisymmetric perturbations: Dynamical stability is...

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Dynamic and Thermodynamic Stability of Black Holes and Black Branes

AbstractI describe recent work with Stefan Hollands that establishes a new criterion for the dynamical stability of black holes in \(D \ge 4\) spacetime dimensions in general relativity with respect to...

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Black Hole Instabilities and Exponential Growth

AbstractRecently, a general analysis has been given of the stability with respect to axisymmetric perturbations of stationary-axisymmetric black holes and black branes in vacuum general relativity in...

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