On black hole thermodynamics with a momentum relaxation

Park, Chanyong

doi:10.1088/0264-9381/33/24/245017

Cited by 5 publications

(3 citation statements)

References 100 publications

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“…This distinction is fundamental: axions with a linear profile along the spatial boundary directions are primary hair, while massive scalars or running dialtons are secondary hair [22]. We show that linear axion backgrounds are exactly on the same footing as standard magnetically charged black holes, thus allowing for a straightforward understanding of their thermodynamics (see also [15,23]). Moreover, treating the axions as 0-forms leads to additional global Ward identities (see (3.9)) reflecting the fact that 0-forms cannot carry electric charge.…”

Section: Introductionmentioning

confidence: 89%

Phases of planar AdS black holes with axionic charge

Caldarelli

Christodoulou

Papadimitriou

et al. 2017

J. High Energ. Phys.

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Planar AdS black holes with axionic charge have finite DC conductivity due to momentum relaxation. We obtain a new family of exact asymptotically AdS 4 black branes with scalar hair, carrying magnetic and axion charge, and we study the thermodynamics and dynamic stability of these, as well as of a number of previously known electric and dyonic solutions with axion charge and scalar hair. The scalar hair for all solutions satisfy mixed boundary conditions, which lead to modified holographic Ward identities, conserved charges and free energy, relative to those following from the more standard Dirichlet boundary conditions. We show that properly accounting for the scalar boundary conditions leads to well defined first law and other thermodynamic relations. Finally, we compute the holographic quantum effective potential for the dual scalar operator and show that dynamical stability of the hairy black branes is equivalent to positivity of the energy density.

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Section: Introductionmentioning

confidence: 89%

Phases of planar AdS black holes with axionic charge

Caldarelli

Christodoulou

Papadimitriou

et al. 2017

J. High Energ. Phys.

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“…What's more, in the simple momentum relaxation model that been used in our paper, scalar fields are chosen in such a way that bulk solutions are homogeneous and isotropic. It is also feasible to generalise the approach to anisotropic case caused by different momentum relaxations [72,73], or spherical fluid dual to the black holes in massive gravity [74,75], which will be included in our further studies.…”

Section: Discussionmentioning

confidence: 99%

Rindler fluid with weak momentum relaxation

Khimphun

Lee

Park

et al. 2018

J. High Energ. Phys.

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Abstract:We realize the weak momentum relaxation in Rindler fluid, which lives on the time-like cutoff surface in an accelerating frame of flat spacetime. The translational invariance is broken by massless scalar fields with weak strength. Both of the Ward identity and the momentum relaxation rate of Rindler fluid are obtained, with higher order correction in terms of the strength of momentum relaxation. The Rindler fluid with momentum relaxation could also be approached through the near horizon limit of cutoff AdS fluid with momentum relaxation, which lives on a finite time-like cutoff surface in Anti-de Sitter(AdS) spacetime, and further could be connected with the holographic conformal fluid living on AdS boundary at infinity. Thus, in the holographic Wilson renormalization group flow of the fluid/gravity correspondence with momentum relaxation, the Rindler fluid can be considered as the Infrared Radiation(IR) fixed point, and the holographic conformal fluid plays the role of the ultraviolet(UV) fixed point.

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“…If we require a time translation invariance in an AdS space, the topology of the d-dimensional AdS boundary is given by R × Σ k where R and Σ k indicate the temporal and (d − 1) spatial sections of the AdS boundary. In this case, a general (d + 1)-dimensional pure AdS metric is given by [39]…”

Section: Braneworld Modelmentioning

confidence: 99%

Holographic time-dependent entanglement entropy in $p$-brane gas geometries

Park¹

2021

Preprint

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We investigate holographic cosmologies appearing in the braneworld model with a uniformly distributed p-brane gas. When p-branes extend to the radial direction, an observer living in the brane detects (p − 1)-dimensional extended objects. On this background, we show that the braneworld model reproduces the expanding universes of the standard cosmology. In an expanding universe with a matter, we investigate the entanglement entropy between the visible and invisible universes across the cosmological (or particle) horizon. We show that, though the visible and invisible universes are causally disconnected, the nonlocal quantum correlation gives rise to a nontrivial time-dependent entanglement entropy relying on the matter.

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On black hole thermodynamics with a momentum relaxation

Cited by 5 publications

References 100 publications

Phases of planar AdS black holes with axionic charge

Phases of planar AdS black holes with axionic charge

Rindler fluid with weak momentum relaxation

Holographic time-dependent entanglement entropy in $p$-brane gas geometries

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