Quantum Black Holes as Holograms in AdS Braneworlds

By Roberto Emparan, A. Fabbri, N. Kaloper. 2002

229 citations recorded by the source corpus.

We propose a new approach for using the AdS/CFT correspondence to study quantum black hole physics. The black holes on a brane in an AdSD+1 braneworld that solve the classical bulk equations are interpreted as duals of quantum-corrected D-dimensional black holes, rather than classical ones, of a conformal field theory coupled to gravity. We check this explicitly in D = 3 and D = 4. In D = 3 we reinterpret the existing exact solutions on a flat membrane as states of the dual 2+1 CFT. We show that states with a sufficiently large mass really are 2+1 black holes where the quantum corrections dress the classical conical singularity with a horizon and censor it from the outside. On a negatively curved membrane, we reinterpret the classical bulk solutions as quantum-corrected BTZ black holes. In D = 4 we argue that the bulk solution for the brane black hole should include a radiation component in order to describe a quantum-corrected black hole in the 3+1 dual. Hawking radiation of the conformal field is then dual to classical gravitational bremsstrahlung in the AdS5 bulk.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/ce2a9de859267c14ab465b87abbcc45d9d66d2d3

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Citations in the corpus

Massive islands (2020, background): “[31, 32] were the first to point out that by the standard rules of AdS/CFT quantum effects, including the Hawking radiation, on the RS brane should be encoded in the classical bulk geometry.”
Ricci solitons, Ricci flow and strongly coupled CFT in the Schwarzschild Unruh or Boulware vacua (2011, methodology): “According to AdS/CFT from the knowledge of the gravitational field on the brane we can compute the expectation value of the stress tensor of the CFT at strong coupling and large Nc from the relation [29]”
Static axisymmetric vacuum solutions and non-uniform black strings (2002, background): “One exciting avenue for future research is to understand how to include localized horizons in the scheme, which would allow access to uncharged black hole solutions in Kaluza–Klein theory, and on branes, if the latter solutions do indeed exist, (although the converse has recently been conjectured by”
Modified Gravity and Cosmology (2011, background): “When applied to the problem of finding a black hole on the brane, this suggests that the solution should not be static since it should include the back-reaction of the Hawking radiation [470] (see also [1201]).”
Silhouette of M87*: A new window to peek into the world of hidden dimensions (2019, background): “Presence of a negative tidal charge will also hint towards a quantum nature of the black holes from the AdS/CFT perspective [72].”
Brane-World Gravity (2004, background): “∙ Exact analysis of Oppenheimer–Snyder collapse on the brane shows that the exterior is nonstatic [159], and this is extended to general collapse by arguments based on a generalized AdS/CFT correspondence [406, 139].”