Quasilocal equilibrium condition for black ring

Dumitru Astefanesei; Maria J. Rodriguez; Stefan Theisen

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Quasilocal equilibrium condition for black ring

Dumitru Astefanesei, Maria J. Rodriguez, Stefan Theisen

High Energy Physics - Theory · Submitted 31 Aug 2009

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The authors' main claim We use the conservation of the renormalized boundary stress-energy tensor to obtain the equilibrium condition for a general (thin or fat) black ring solution.

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We use the conservation of the renormalized boundary stress-energy tensor to obtain the equilibrium condition for a general (thin or fat) black ring solution. We also investigate the role of the spatial stress in the thermodynamics of deformation within the quasilocal formalism of Brown and York and discuss the relation with other methods. In particular, we discuss the quantum statistical relation for the unbalanced black ring solution.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We use the conservation of the renormalized boundary stress-energy tensor to obtain the equilibrium condition for a general (thin or fat) black ring solution.	contribution 0.68	0.96	0.65	asserted 1.00
s1	We also investigate the role of the spatial stress in the thermodynamics of deformation within the quasilocal formalism of Brown and York and discuss the relation with other methods.	contribution 0.96	0.89	0.09	asserted 0.85
s2	In particular, we discuss the quantum statistical relation for the unbalanced black ring solution.	contribution 0.92	0.83	0.15	asserted 0.53

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Original abstract

We use the conservation of the renormalized boundary stress-energy tensor to obtain the equilibrium condition for a general (thin or fat) black ring solution. We also investigate the role of the spatial stress in the thermodynamics of deformation within the quasilocal formalism of Brown and York and discuss the relation with other methods. In particular, we discuss the quantum statistical relation for the unbalanced black ring solution.

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References

How the literature uses it

15 arXiv papers cite this in 20 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 14 sentences without a confident label

Uses its method or tool 1 paper

We use the divergence- free boundary stress tensor proposed in employed in e.g. [ref] τ_ij = 1/8πG ( K_ij - h_ij K - Ψ(R_ij - R h_ij) . . - h_ij ∇^2 Ψ+ ∇_i ∇_j Ψ) where $Ψ= c/√(R)$, $K$ is the extrinsic curvature , $h_ij$ is the induced boundary metric, and $ℛ_ij$ its Ricci tensor.

Thermodynamics of Kerr Effective Black Hole Geometries · Thermodynamics · 0.99

Compares with it 2 papers

Esto contraste con la situaci'on cuando la soluci'on no es regular debido a la presencia de singularidades c'onicas en el borde [ref] .

Termodin\'amica de agujeros negros y campos escalares · Discusi'on · 0.88
This contrasts with the situation when the solution is not regular due to the presence of conical singularity in the boundary [ref] .

Thermodynamically stable asymptotically flat hairy black holes with a dilaton potential · Discussion · 0.93

Cites it as support 1 paper

The condition ([ref]) is then satisfied in the absence of conical singularities [ref] .

On the black hole species (by means of natural selection) · The selection rule · 0.97

Cites it as background 2 papers

There are by now examples [ref] of the first law of thermodynamics and conserved charges obtained by using the quasilocal formalism of Brown and York [ref] supplemented with counterterms for asymptotically flat spacetimes [ref] .

Scalar charges and the first law of black hole thermodynamics · Total energy and Brown-York formalism · 0.88
Initially it was proposed for asymptotically AdS solutions [ref] and then it was generalized to asymptotically flat solutions [ref] and even dS solutions [ref] , though in the last two cases it is fair to say that there is no valid holographic interpretation generally accepted.

Trace Anomaly and Counterterms in Designer Gravity · Conclusions · 0.85

What it cites · 51 sentences without a confident label

Builds on 1 paper

The main goal of this work was to understand how the proposal of [ref] , that the dynamical balance of a thin black ring is related to the conservation of the stress tensor, can be extended to a general black ring solution.

The Phase Structure of Higher-Dimensional Black Rings and Black Holes · Discussion · 0.96

Uses the method or tool of 1 paper

To define the conserved charges within quasilocal formalism, we use the divergence-free boundary stress tensor proposed in [ref] :

Quasilocal Formalism and Black Ring Thermodynamics · Quasilocal stress-energy tensor · 1.00

Compares with 2 papers

However, as expected, our results match the results in [ref] and the quantum statistical relation contains a new term due to the tension.

Stresses and Strains in the First Law for Kaluza-Klein Black Holes · Gravitational tension · 1.00
Note that since we removed the bulk conical singularity and kept the one in the boundary metric, the charges differ from the ones in the original paper [ref] .

Black Rings, Supertubes, and a Stringy Resolution of Black Hole Non-Uniqueness · Generalized quantum statistical relation · 0.92

Cites as support 1 paper

As it was recently explicitly shown in several concrete 5-dimensional black objects examples [ref] , the conserved charges from the quasilocal formalism match the ADM charges exactly.

Quasilocal formalism and thermodynamics of asymptotically flat black objects · Quasilocal stress-energy tensor · 0.97

Cites as background 10 papers

The basic idea in [ref] is to define a `quasilocal' energy inside a given finite region (rather than defining the energy at a point).

Quasilocal Energy and Conserved Charges Derived from the Gravitational Action · Introduction · 0.96
A general definition for gravitational tension was given in [ref] — however, as in the case of gravitational energy, it can only be defined with respect to a reference background.

General Definition of Gravitational Tension · Gravitational tension · 0.92
One would like to understand how this formalism is generalized to unbalanced solutions — this is especially interesting in connection with the black ring/blackfold approach [ref] .

World-Volume Effective Theory for Higher-Dimensional Black Holes · Introduction · 0.88

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