Inside and outside stories of black-branes in anti de Sitter space

Hansen, Jakob; Lee, Bum-Hoon; Park, Chanyong; Yeom, Dong-han

doi:10.1088/0264-9381/30/23/235022

Cited by 11 publications

(16 citation statements)

References 57 publications

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“…The results presented here are very similar to those presented in [57] which is not surprising, since the code in that paper and this one are essentially identical. For this reason we refer to that paper and references therein (especially, [47][48][49]), for further details of the numerical schemes and other details related to the design of the code.…”

Section: B Numerical Convergence and Consistency Testssupporting

confidence: 87%

“…where Equations (3.31) and (3.39) are evolution equations for α ,uv , r ,uv , Φ ,uv and s ,uv , which can be solved with the same integration scheme used in the authors' previous papers [47][48][49]57]. The gauge field a can be evolved using the same numerical scheme via Equation (3.38) or we can evolve a and q via Equations (3.34) and (3.35).…”

Section: Jhep10(2014)040mentioning

confidence: 99%

“…However, in general it does not mean that extreme (or naked) black holes can be formed (this was also demonstrated by [54,55]). The excessive charge will be repelled outside the horizon and the excessive charge is either repelled to future infinity or forms a stable charge cloud outside the horizon [57]. Hence in terms of gravitational collapses, δ = 0.5 allows the largest possible amount of charge.…”

Section: Charged Black Holesmentioning

confidence: 99%

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Charged black holes in string-inspired gravity. I. Causal structures and responses of the Brans-Dicke field

Hansen

Yeom

2014

J. High Energ. Phys.

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Abstract:We investigate gravitational collapses of charged black holes in string-inspired gravity models, including dilaton gravity and braneworld model, as well as f (R) gravity and the ghost limit. If we turn on gauge coupling, the causal structures and the responses of the Brans-Dicke field depend on the coupling between the charged matter and the BransDicke field. For Type IIA inspired models, a Cauchy horizon exists, while there is no Cauchy horizon for Type I or Heterotic inspired models. For Type IIA inspired models, the no-hair theorem is satisfied asymptotically, while it is biased to the weak coupling limit for Type I or Heterotic inspired models. Apart from string theory, we find that in the ghost limit, a gravitational collapse can induce inflation by itself and create one-way traversable wormholes without the need of other special initial conditions.

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Section: B Numerical Convergence and Consistency Testssupporting

confidence: 87%

Section: Jhep10(2014)040mentioning

confidence: 99%

Section: Charged Black Holesmentioning

confidence: 99%

See 1 more Smart Citation

Charged black holes in string-inspired gravity. I. Causal structures and responses of the Brans-Dicke field

Hansen

Yeom

2014

J. High Energ. Phys.

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“…Double-null coordinates are widely used in numerical analyses of spherically symmetric spacetimes [15,16,17,18,19,20]. The choice of double-null coordinates has several advantages: It leads to relatively simple field equations, it allows convenient coverage of globally-hyperbolic charts, and simplifies the determination of the causal structure.…”

Section: Introductionmentioning

confidence: 99%

Adaptive gauge method for long-time double-null simulations of spherical black-hole spacetimes

Eilon

Ori

2016

Phys. Rev. D

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Double-null coordinates are highly useful in numerical simulations of dynamical sphericallysymmetric black holes (BHs). However, they become problematic in long-time simulations:Along the event horizon, the truncation error grows exponentially in the outgoing Eddington null coordinate -which we denote v e -and runs out of control for a sufficiently long interval of v e . This problem, if not properly addressed, would destroy the numerics both inside and outside the black hole at late times (i.e. large v e ). In this paper we explore the origin of this problem, and propose a resolution based on adaptive gauge for the ingoing null coordinate u. This resolves the problem outside the BH -and also inside the BH, if the latter is uncharged. However, in the case of a charged BH, an analogous large-v e numerical problem occurs at the inner horizon. We thus generalize our adaptive-gauge method in order to overcome the IH problem as well. This improved adaptive gauge, to which we refer as the maximal-σ gauge, allows long-v double-null numerical simulation across both the event horizon and the (outgoing) inner horizon, and up to the vicinity of the spacelike r = 0 singularity. We conclude by presenting a few numerical results deep inside a perturbed charged BH, in the vicinity of the contracting Cauchy Horizon.

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“…The scheme employed in the numerical simulations was described in detail in [69][70][71][89][90][91][92][93]. The initial conditions were imposed on a set of dynamical variables (α, h, d, r, f , g, Φ, W , Z, s, w, z) on two null u = const.…”

Section: A Numerical Computationsmentioning

confidence: 99%

Scalar field as an intrinsic time measure in coupled dynamical matter-geometry systems. I. Neutral gravitational collapse

Nakonieczna

Yeom

2016

J. High Energ. Phys.

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There does not exist a notion of time which could be transferred straightforwardly from classical to quantum gravity. For this reason, a method of time quantification which would be appropriate for gravity quantization is being sought. One of the existing proposals is using the evolving matter as an intrinsic 'clock' while investigating the dynamics of gravitational systems. The objective of our research was to check whether scalar fields can serve as time variables during a dynamical evolution of a coupled multicomponent matter-geometry system. We concentrated on a neutral case, which means that the elaborated system was not charged electrically nor magnetically. For this purpose, we investigated a gravitational collapse of a self-interacting complex and real scalar fields in the Brans-Dicke theory using the 2+2 spacetime foliation. We focused mainly on the region of high curvature appearing nearby the emerging singularity, which is essential from the perspective of quantum gravity. We investigated several formulations of the theory for various values of the Brans-Dicke coupling constant and the coupling between the Brans-Dicke field and the matter sector of the theory. The obtained results indicated that the evolving scalar fields can be treated as time variables in close proximity of the singularity due to the following reasons. The constancy hypersurfaces of the Brans-Dicke field are spacelike in the vicinity of the singularity apart from the case, in which the equation of motion of the field reduces to the wave equation due to a specific choice of free evolution parameters. The hypersurfaces of constant complex and real scalar fields are spacelike in the regions nearby the singularities formed during the examined process. The values of the field functions change monotonically in the areas, in which the constancy hypersurfaces are spacelike.

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Inside and outside stories of black-branes in anti de Sitter space

Cited by 11 publications

References 57 publications

Charged black holes in string-inspired gravity. I. Causal structures and responses of the Brans-Dicke field

Charged black holes in string-inspired gravity. I. Causal structures and responses of the Brans-Dicke field

Adaptive gauge method for long-time double-null simulations of spherical black-hole spacetimes

Scalar field as an intrinsic time measure in coupled dynamical matter-geometry systems. I. Neutral gravitational collapse

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