Journal ArticleDOI
The wave equation on a curved space-time
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This article is published in Bulletin of The London Mathematical Society.The article was published on 1977-07-01. It has received 169 citations till now. The article focuses on the topics: Sinusoidal plane-wave solutions of the electromagnetic wave equation & Kadomtsev–Petviashvili equation.read more
Citations
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Determining a function from its mean values over a family of spheres
TL;DR: An inversion algorithm is provided (with proof) when the mean values are known for all spheres centered on the boundary of D, with radii in the interval [0, diam(D)/2].
Journal ArticleDOI
Singularity Theorems and Their Consequences
TL;DR: A 20-year old review on singularities and singularity theorems is presented in this paper, where the plausibility and reasonability of their hypotheses, applicability and implications of the singularity The consequences usually extracted from them, some of them without the necessary rigour, are widely and carefully analysed with many clarifying examples and alternative views.
Journal ArticleDOI
Hadamard renormalization of the stress-energy tensor for a quantized scalar field in a general spacetime of arbitrary dimension
Yves Décanini,Antoine Folacci +1 more
TL;DR: In this article, the Hadamard renormalization of the stress-energy tensor for a massive scalar field theory defined on a general spacetime of arbitrary dimension is studied.
Journal ArticleDOI
Rigorous steps towards holography in asymptotically flat spacetimes
Claudio Dappiaggi,Claudio Dappiaggi,Valter Moretti,Valter Moretti,Nicola Pinamonti,Nicola Pinamonti +5 more
TL;DR: In this article, a BMS invariant spectrum QFT on the boundary ℑ+ at future null infinity of a general asymptotically flat 4D spacetime is constructed using the algebraic approach based on Weyl algebra associated to BMS-invariant symplectic form, which turns out to be invariant under a suitable strongly-continuous unitary representation of the BMS group with manifest meaning when the fields are interpreted as suitable extensions to the massless minimally coupled fields propagating in the bulk.
Journal ArticleDOI
Renormalized Quantum Yang-Mills Fields in Curved Spacetime
Stefan Hollands,Stefan Hollands +1 more
TL;DR: In this paper, it was shown that quantum Yang-Mills theory can be consistently defined as a renormalized, perturbative quantum field theory on an arbitrary globally hyperbolic curved, Lorentzian spacetime.
References
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Journal ArticleDOI
Determining a function from its mean values over a family of spheres
TL;DR: An inversion algorithm is provided (with proof) when the mean values are known for all spheres centered on the boundary of D, with radii in the interval [0, diam(D)/2].
Journal ArticleDOI
Singularity Theorems and Their Consequences
TL;DR: A 20-year old review on singularities and singularity theorems is presented in this paper, where the plausibility and reasonability of their hypotheses, applicability and implications of the singularity The consequences usually extracted from them, some of them without the necessary rigour, are widely and carefully analysed with many clarifying examples and alternative views.
Journal ArticleDOI
Hadamard renormalization of the stress-energy tensor for a quantized scalar field in a general spacetime of arbitrary dimension
Yves Décanini,Antoine Folacci +1 more
TL;DR: In this article, the Hadamard renormalization of the stress-energy tensor for a massive scalar field theory defined on a general spacetime of arbitrary dimension is studied.
Journal ArticleDOI
Rigorous steps towards holography in asymptotically flat spacetimes
Claudio Dappiaggi,Claudio Dappiaggi,Valter Moretti,Valter Moretti,Nicola Pinamonti,Nicola Pinamonti +5 more
TL;DR: In this article, a BMS invariant spectrum QFT on the boundary ℑ+ at future null infinity of a general asymptotically flat 4D spacetime is constructed using the algebraic approach based on Weyl algebra associated to BMS-invariant symplectic form, which turns out to be invariant under a suitable strongly-continuous unitary representation of the BMS group with manifest meaning when the fields are interpreted as suitable extensions to the massless minimally coupled fields propagating in the bulk.
Journal ArticleDOI
Renormalized Quantum Yang-Mills Fields in Curved Spacetime
Stefan Hollands,Stefan Hollands +1 more
TL;DR: In this paper, it was shown that quantum Yang-Mills theory can be consistently defined as a renormalized, perturbative quantum field theory on an arbitrary globally hyperbolic curved, Lorentzian spacetime.