The Covariant Phase Space of Asymptotically Flat Gravitational Fields

Ashtekar, Abhay; Bombelli, L.; Reula, Oscar

doi:10.1016/b978-0-444-88958-4.50021-5

Cited by 194 publications

(364 citation statements)

References 15 publications

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“…As in our previous studies we follow a covariant phase space approach to compute the charges [17,18] . The symplectic form for the system is given by an integral over a Cauchy slice Σ (which we eventually take its limit to null infinity):…”

Section: Jhep11(2016)012mentioning

confidence: 99%

Subleading soft photons and large gauge transformations

Campiglia

Laddha

2016

J. High Energ. Phys.

121

190

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Lysov, Pasterski and Strominger have shown how Low's subleading soft photon theorem can be understood as Ward identities of new symmetries of massless QED. In this paper we offer a different perspective and show that there exists a class of large U(1) gauge transformations such that (i) the associated (electric and magnetic) charges can be computed from first principles, (ii) their Ward identities are equivalent to Low's theorem. Our framework paves the way to analyze the sub-subleading theorem in gravity in terms of Ward identities associated to large diffeomorphisms.

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Section: Jhep11(2016)012mentioning

confidence: 99%

Subleading soft photons and large gauge transformations

Campiglia

Laddha

2016

J. High Energ. Phys.

121

190

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“…Finally, Section 4 includes several remarks regarding the prospects for 3 For examples see [3,20]. 4 The Lagrangian approach to gauge equivalence leads to this same conclusion [3,20]. 5 For solution Φ 1 can induce the same initial data as solution Φ 2 at one instant while solution Φ 2 induces the same initial data as solution Φ 3 at another instant without there being any instant at which Φ 1 and Φ 3 induce the same initial data.…”

Section: Introductionmentioning

confidence: 99%

“…In Section 3 the approach is applied to the class of theories, such as vacuum general relativity, in which spacetime diffeomorphisms are the only source of gauge freedom. Finally, Section 4 includes several remarks regarding the prospects for 3 For examples see [3,20]. 4 The Lagrangian approach to gauge equivalence leads to this same conclusion [3,20].…”

Section: Introductionmentioning

confidence: 99%

“…One then expects to find that G acts also on S /D 0 and that this action is associated in the usual way with the conserved quantities that the imposition of asymptotic boundary conditions brings into existence. 3 In this case, it is natural to take solutions to be gauge equivalent if and only if related by a diffeomorphism in D 0 so that the space S /D 0 can be viewed as representing the physics of the theory without redundancy. 4 But Approach (1) above would appear to recommend instead taking the space S /D to play this role-which would efface the interesting representation of G as the symmetry group of the theory.…”

Section: Introductionmentioning

confidence: 99%

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An elementary notion of gauge equivalence

Belot

2007

Gen Relativ Gravit

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An elementary notion of gauge equivalence is introduced that does not require any Lagrangian or Hamiltonian apparatus. It is shown that in the special case of theories, such as general relativity, whose symmetries can be identified with spacetime diffeomorphisms this elementary notion has many of the same features as the usual notion. In particular, it performs well in the presence of asymptotic boundary conditions.

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“…[29,30,31]. We may take, e.g., the boundary conditions of [32] (for d = 4) or [17] (for d ≥ 4) to define a notion of "fast fall-off." Only these boundary condtions are asymptotically flat.…”

Section: Interacting and Non-scalar Fieldsmentioning

confidence: 99%

Asymptotic flatness, little string theory, and holography

Marolf

2007

J. High Energy Phys.

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We argue that any non-gravitational holographic dual to asymptotically flat string theory in d-dimensions naturally resides at spacelike infinity. Since spacelike infinity can be resovled as a (d − 1)-dimensional timelike hyperboloid (i.e., as a copy of de Sitter space in (d − 1) dimensions), the dual theory is defined on a Lorentz signature spacetime. Conceptual issues regarding such a duality are clarified by comparison with linear dilaton boundary conditions, such as those dual to little string theory. We compute both timeordered and Wightman boundary 2-point functions of operators dual to massive scalar fields in the asymptotically flat bulk.

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The Covariant Phase Space of Asymptotically Flat Gravitational Fields

Cited by 194 publications

References 15 publications

Subleading soft photons and large gauge transformations

Subleading soft photons and large gauge transformations

An elementary notion of gauge equivalence

Asymptotic flatness, little string theory, and holography

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