The Robinson–Trautman spacetime and its holographic fluid

Ciambelli, Luca; Petkou, Anastasios C.; Petropoulos, P. Marios; Σιάμπος, Κωνσταντίνος

doi:10.22323/1.292.0076

Cited by 4 publications

(6 citation statements)

References 30 publications

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“…It is admitted -and extensively discussed in the literature (see e.g. [36][37][38][39][40][41][42]) -that one can perform local Lorentz boosts on the velocity congruence, while keeping intact the energy-momentum tensor and the entropy current. This freedom may be reduced by setting some constraint, locking the fluid in a specific hydrodynamic frame.…”

Section: Jhep11(2020)092mentioning

confidence: 99%

“…This freedom may be reduced by setting some constraint, locking the fluid in a specific hydrodynamic frame. At this stage, we wish to keep the freedom on the fluid velocity field complete: on the one hand, because a hydrodynamic-frame transformation is not totally innocuous (see [40]), in particular regarding global properties, as shown in [29]; on the other hand, because the core of the present work relies on the control of the bulk gauge freedom, and a boundary velocity transformation amounts to a specific bulk diffeomorphism, which we will exhibit in the next section.…”

Section: Jhep11(2020)092mentioning

confidence: 99%

“…where S is another arbitrary boundary function, while χ is the boundary fluid heat density. The treatment of 40) whereas the boundary vector ξ (0) remains unconstraint and expressed in terms of two arbitrary functions f and Y :…”

Section: Jhep11(2020)092mentioning

confidence: 99%

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Gauges in three-dimensional gravity and holographic fluids

Ciambelli

Marteau

Petropoulos

et al. 2020

J. High Energ. Phys.

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Solutions to Einstein’s vacuum equations in three dimensions are locally maximally symmetric. They are distinguished by their global properties and their investigation often requires a choice of gauge. Although analyses of this sort have been performed abundantly, several relevant questions remain. These questions include the interplay between the standard Bondi gauge and the Eddington-Finkelstein type of gauge used in the fluid/gravity holographic reconstruction of these spacetimes, as well as the Fefferman-Graham gauge, when available i.e. in anti de Sitter. The goal of the present work is to set up a thorough dictionary for the available descriptions with emphasis on the relativistic or Carrollian holographic fluids, which portray the bulk from the boundary in anti-de Sitter or flat instances. A complete presentation of residual diffeomorphisms with a preliminary study of their algebra accompanies the situations addressed here.

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Section: Jhep11(2020)092mentioning

confidence: 99%

Section: Jhep11(2020)092mentioning

confidence: 99%

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Gauges in three-dimensional gravity and holographic fluids

Ciambelli

Marteau

Petropoulos

et al. 2020

J. High Energ. Phys.

Self Cite

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“…The solution space presented in section 2.2 is, in summary, an extension of that in [67] including logarithmic terms (which survive the flat limit) and the trace C (which survives when going to the NU gauge). We hope that this will also later help study aspects of sourced holography in Robinson-Trautman spacetimes [159][160][161][162][163].…”

Section: Enlarged Solution Spacementioning

confidence: 94%

“…• Robinson-Trautman solutions. Our extended solution space, which includes in particular arbitrary time-dependent sources for the boundary metric, is adapted to the study of the algebraically special Robinson-Trautman spacetimes [159][160][161][162][163]178]. These spacetimes are interesting in their own right in order to study sourced holography and memory effects, but could also provide a simplified setup in which to study the role of the trace mode C and the radial symmetry in NU gauge.…”

Section: • Logarithmic Termsmentioning

confidence: 99%

The partial Bondi gauge: Further enlarging the asymptotic structure of gravity

Geiller

Zwikel

2022

SciPost Phys.

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We present a detailed analysis of gravity in a partial Bondi gauge, where only the three conditions g_{rr}=0=g_{rA}grr=0=grA are fixed. We relax in particular the so-called determinant condition on the transverse metric, which is only assumed to admit a polyhomogeneous radial expansion. This is sufficient in order to build the solution space, which here includes a cosmological constant, time-dependent sources in the boundary metric, logarithmic branches, and an extra trace mode at subleading order in the transverse metric. The evolution equations are studied using the Newman–Penrose formalism in terms of covariant functionals identified from the Weyl scalars, and we build the explicit dictionary between this formalism and the tensorial Einstein equations. This provides in particular a new derivation of the (A)dS mass loss formula. We then study the holographic renormalisation of the symplectic potential, and the transformation laws under residual asymptotic symmetries. The advantage of the partial Bondi gauge is that it allows to contrast and treat in a unified manner the Bondi–Sachs and Newman–Unti gauges, which can each be reached upon imposing a further specific gauge condition. The differential determinant condition leads to the \LambdaΛ-BMSW gauge, while a differential condition on g_{ur}gur leads to a generalized Newman–Unti gauge. This latter gives access to a new asymptotic symmetry which acts on the asymptotic shear and further extends the \LambdaΛ-BMSW group by an extra abelian radial translation. This generalizes results which we have recently obtained in three dimensions.

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