Stress tensor for large-D membrane at subleading orders

Biswas, Parthajit

doi:10.1007/jhep07(2020)110

Cited by 3 publications

(3 citation statements)

References 34 publications

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“…While the other branch, known as the "large D membrane paradigm" [53][54][55][56][57][58][59][60][61][62][63][64][65][66][67][68][69] states that the dynamical black holes in large D have one-to-one correspondence to the dynamics of a codimension one hypersurface, called a "membrane", which doesn't backreact on its background. In this nongravitational dual, the membrane dynamics is governed by what are called the "membrane equations of motion", and the dynamical data associated with the membrane completely defines the corresponding black hole solution.…”

Section: Introductionmentioning

confidence: 99%

Black rings in large D membrane paradigm at the first order

Mandlik

2021

J. High Energ. Phys.

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Black rings are the black objects found in D spacetime dimensional gravity when D ≥ 5. These have event horizon topology SD−3× S1. In this work the solutions of the large D membrane paradigm dual to stationary black rings in Einstein-Maxwell theory with or without cosmological constant are studied. It is shown that the first order membrane equations can only admit static asymptotically flat black rings, and the equilibrium angular velocity for the asymptotically AdS black rings at large D was obtained. The thermodynamic and dynamic stability of the asymptotically flat black ring solutions is studied. The apparent shortcomings of some of these results are argued to be curable within the large D membrane paradigm framework.

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Section: Introductionmentioning

confidence: 99%

Black rings in large D membrane paradigm at the first order

Mandlik

2021

J. High Energ. Phys.

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“…5 It is well known that fluid equations can be written as conservation equations of a stress tensor and charge current living on (D − 1) dimensional flat space. Also from paper [28,29] we know that…”

Section: Comparing the Evolution Of Two Sets Of Datamentioning

confidence: 99%

Comparison between fluid-gravity and membrane-gravity dualities for Einstein-Maxwell system

Patra¹

2019

Preprint

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Derivative expansion and large-D expansion are two perturbation techniques, which are used to generate dynamical black-brane solutions to Einstein's equations in presence of negative cosmological constant. In this note we have compared these two techniques and established the equivalence of the gravity solutions generated by these two different techniques in appropriate regime of parameter space up to first non-trivial order in both the perturbation parameters for Einstein-Maxwell systems, generalizing the earlier works of [1,2] for non-charged systems. An one-toone map between dynamical black-brane geometry and AdS space, which also exists at finite number of dimensions, has also been established. Contents 1 Introduction : 1.1 Strategy 2 Review of Hydrodynamics from charged black-branes in arbitrary dimensions : 2.1 Scalars at first order 2.2 Vectors at first order 2.3 Tensors at first order 2.4 The global metric and gauge field at first order 2.5 The boundary stress tensor and the charge current 2.6 Hydrodynamic metric and gauge field up to first order in derivative 3 The large D metric, gauge field and membrane equations: 3.1 The dual system 4 Comparing fluid-gravity and membrane-gravity dualities : 4.1 The split of the hydrodynamic metric 4.2 Membrane data in terms of fluid data 4.2.1 Determining ψ 4.2.2 Determining U A 4.2.3 Determining Q 4.2.4 Relevant derivatives of the basic data 4.3 Comparing the metrics and gauge fields 4.3.1 Comparing the gauge fields 4.3.2 Comparing the metric 4.4 Comparing the evolution of two sets of data 5 Conclusons and future directions : A The Large-D limit of the integrations appearing in hydrodynamic metric A.1 Analysis of the integral in the function F 1 A.2 Analysis of the integral in the function F 2 B The inverse of the background metric and christoffel symbols w.r.t background metric C Notation 34

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mentioning

confidence: 99%

Black Rings in Large $D$ Membrane Paradigm at the First Order

Mandlik

2020

Preprint

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Black rings are the black objects found in D spacetime dimensional gravity when D ≥ 5. These have event horizon topology S D−3 × S 1 . In this work the solutions of the large D membrane paradigm dual to stationary black rings in Einstein-Maxwell theory with or without cosmological constant are studied. It is shown that the first order membrane equations can only admit static asymptotically flat black rings, and the equilibrium angular velocity for the asymptotically AdS black rings at large D was obtained. The thermodynamic and dynamic stability of the asymptotically flat black ring solutions is studied. The apparent shortcomings of some of these results are argued to be curable within the large D membrane paradigm framework.

show abstract

Stress tensor for large-D membrane at subleading orders

Cited by 3 publications

References 34 publications

Black rings in large D membrane paradigm at the first order

Black rings in large D membrane paradigm at the first order

Comparison between fluid-gravity and membrane-gravity dualities for Einstein-Maxwell system

Black Rings in Large $D$ Membrane Paradigm at the First Order

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