Asymptotic structure with vanishing cosmological constant

Fernández-Álvarez, Francisco; Senovilla, José M. M.

doi:10.1088/1361-6382/ac387e

Cited by 7 publications

(28 citation statements)

References 47 publications

(113 reference statements)

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“…Though this is not necessary, in order to concorde with references [29,28,32,31] I am going to partly fix this gauge freedom by choosing Ω such that ∇ µ ∇ µ Ω J = 0, which in turn implies…”

Section: Weakly Asymptotically Simple Spacetimesmentioning

confidence: 99%

“…Hence, the existence of gravitational radiation carrying energy-momentum -lost by isolated systems in their dynamical evolutionshould be amenable to a description that considers the strength of the curvature, that is, the strength of the tidal gravitational effects, as the fundamental variable. This is the basic idea to be developed in what follows which was put forward and developed in detail in [29,28,32,31]. The strength 2 of the tidal gravitational forces can be appropriately described by the Bel-Robinson tensor (see Appendix A), defined by…”

Section: Asymptotic (Radiant) Super-momentum: the Radiation Criterionmentioning

confidence: 99%

“…which holds in full generality when Λ = 0 [32], but needs to assume that the energymomentum tensor of the physical space-time ( M , ĝµν ) behaves approaching J as Tαβ | J ∼ O(Ω 3 ) [31] (this includes the vacuum case Tαβ = 0). The existence of gravitational radiation cannot be detected at a given point, due to the non-local nature of the gravitational field.…”

Section: Asymptotic (Radiant) Super-momentum: the Radiation Criterionmentioning

confidence: 99%

“…Consider thus any cut S ⊂ J and let µ be a null normal to S such that ∧ n = 0. The criteria that we found to detect the existence or absence of gravitational radiation arriving at J + (or departing from J − ) are as follows [29,28,32,31] Criterion 1 (Absence of radiation on a cut). When Λ ≥ 0, there is no gravitational radiation on a cut S ⊂ J with spherical topology if and only if Π α | S is orthogonal to S pointing along the direction α + sgn(Λ) (n α − α ).…”

Section: Asymptotic (Radiant) Super-momentum: the Radiation Criterionmentioning

confidence: 99%

“…The problem of the existence of news-like objects in this case, and the question of in-and out-going radiation are discussed in section 5 and the existence of asymptotic symmetries is studied in section 6. I end the paper with a list of examples presented in [32,31] and some closing comments.…”

Section: Introductionmentioning

confidence: 99%

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Gravitational Radiation at Infinity with Non-Negative Cosmological Constant

Senovilla

2022

Universe

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The existence of gravitational radiation arriving at null infinity J+, i.e., escaping from the physical system, is addressed in the presence of a non-negative cosmological constant Λ≥0. The case with vanishing Λ is well understood and relies on the properties of the News tensor field (or the News function) defined at J+. The situation is drastically different when Λ>0, where there is no known notion of `News’ with similar good properties. In this paper, both situations are considered jointly from a tidal point of view, that is, taking into account the strength (or energy) of the curvature tensors. The fundamental object used for this purposes is the asymptotic (radiant) super-momentum, a causal vector defined at infinity with remarkable properties. This leads to a novel characterization of gravitational radiation valid for the general case with Λ≥0, which has been proven to be equivalent when Λ=0 to the standard one based on News. Here, the implications of this result when Λ>0 are analyzed in detail. A general procedure to construct `News tensors’ when Λ>0 is depicted, a proposal for asymptotic symmetries is provided, and an example of a conserved charge that may detect gravitational radiation at J+ is exhibited. A series of illustrative examples is listed as well.

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Section: Weakly Asymptotically Simple Spacetimesmentioning

confidence: 99%

Section: Asymptotic (Radiant) Super-momentum: the Radiation Criterionmentioning

confidence: 99%

Section: Asymptotic (Radiant) Super-momentum: the Radiation Criterionmentioning

confidence: 99%

Section: Asymptotic (Radiant) Super-momentum: the Radiation Criterionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Gravitational Radiation at Infinity with Non-Negative Cosmological Constant

Senovilla

2022

Universe

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Radiation in holography

Ciambelli,

Pasterski,

Tabor

2024

J. High Energ. Phys.

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We show how to encode the radiative degrees of freedom in 4-dimensional asymptotically AdS spacetimes, using the boundary Cotton and stress tensors. Background radiation leads to a reduction of the asymptotic symmetry group, in contrast to asymptotically flat spacetimes, where a non-vanishing news tensor does not restrict the asymptotic symmetries. Null gauges, such as Λ-BMS, provide a framework for AdS spacetimes that include radiation in the flat limit. We use this to check that the flat limit of the radiative data matches the expected definition in intrinsically asymptotically flat spacetimes. We further dimensionally reduce our construction to the celestial sphere, and show how the 2-dimensional celestial currents can be extracted from the 3-dimensional boundary data.

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Asymptotic structure with a positive cosmological constant

Fernández-Álvarez

Senovilla

2022

Class. Quantum Grav.

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This is the second of two papers that study the asymptotic structure of space-times with a non-negative cosmological constant Λ. This paper deals with the case Λ>0. Our approach is founded on the `tidal energies' built with the Weyl curvature and, specifically, we use the asymptotic super-Poynting vector computed from the rescaled Bel-Robinson tensor at infinity to provide a covariant, gauge-invariant, criterion for the existence, or absence, of gravitational radiation at infinity. The fundamental idea we put forward is that the physical asymptotic properties are encoded in $(\scri,h_{ab},D_{ab})$, where the first element of the triplet is a 3-dimensional manifold, the second is a representative of a conformal class of Riemannian metrics on $\scri$, and the third element is a traceless symmetric tensor field on $\scri$. We similarly propose a no-incoming radiation criterion based also on the triplet $(\scri,h_{ab},D_{ab})$ and on radiant supermomenta deduced from the rescaled Bel-Robinson tensor too. We search for news tensors and argue that any news-like object must be associated to, and depends on, 2-dimensional cross-sections of $\scri$. We identify one component of news for every such cross-section and present a general strategy to find the second component. We also introduce the concept of equipped $\scri$, consider the limit Λ→0 and apply all our results to selected exact solutions of Einstein Field Equations. The full-length abstract is available in the paper.

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Asymptotic structure with vanishing cosmological constant

Cited by 7 publications

References 47 publications

Gravitational Radiation at Infinity with Non-Negative Cosmological Constant

Gravitational Radiation at Infinity with Non-Negative Cosmological Constant

Radiation in holography

Asymptotic structure with a positive cosmological constant

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