Weak Field Black Hole Formation in Asymptotically AdS Spacetimes
By Sayantani Bhattacharyya, Shiraz Minwalla. 2009
243 citations recorded by the source corpus.
We use the AdS/CFT correspondence to study the thermalization of a strongly coupled conformal field theory that is forced out of its vacuum by a source that couples to a marginal operator. The source is taken to be of small amplitude and finite duration, but is otherwise an arbitrary function of time. When the field theory lives on Rd−1,1, the source sets up a translationally invariant wave in the dual gravitational description. This wave propagates radially inwards in AdSd+1 space and collapses to form a black brane. Outside its horizon the bulk spacetime for this collapse process may systematically be constructed in an expansion in the amplitude of the source function, and takes the Vaidya form at leading order in the source amplitude. This solution is dual to a remarkably rapid and intriguingly scale dependent thermalization process in the field theory. When the field theory lives on a sphere the resultant wave either slowly scatters into a thermal gas (dual to a glueball type phase in the boundary theory) or rapidly collapses into a black hole (dual to a plasma type phase in the field theory) depending on the time scale and amplitude of the source function. The transition between these two behaviors is sharp and can be tuned to the Choptuik scaling solution in Rd,1.
Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/7e063cd072860a8e387b18883ef56f9ba9a9480e
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Citations in the corpus
- Gravity and hydrodynamics: lectures on the fluid-gravity correspondence (2009, background): “The remarkable aspect of the recent discussion of [123] is that the system tends to ‘thermalize’ rapidly—in effect the hydrodynamic description takes over almost instantaneously after the perturbation is switched off46.”
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- Holographic thermalization with chemical potential (2012, background): “In [3] the authors showed that a dilaton source of small amplitude and finite duration at the boundary produces a wave that propagates in the bulk and collapses to form an AdS-Schwarzschild geometry.”
- Entanglement entropy from a holographic viewpoint (2012, background): “A more interesting backgrounds in AdS/CFT is time-dependent solutions where a black hole is formed [109, 110, 111, 112, 113].”
- Holographic complexity in Vaidya spacetimes. Part I (2018, background): “Further, in a particular limit, it is also possible to use a massless scalar field as the source in the Vaidya metric [57].”
- Black hole collapse in the 1/c expansion (2016, background): “Performing a spatially homogeneous quench means that J = J(t), and, following the gravity calculation of [71], we take J(t) to be compactly supported in time, that is we choose a smooth function J(t) such that J(t) = j0 6= 0 on an interval of size η centered on t = 0 and zero otherwise.”
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