black hole spacetimes | vanishing angular momentum | positive angular momentum |
---|---|---|
vanishing charge | Schwarzschild spacetime | Kerr spacetime |
positive charge | Reissner-Nordstrom spacetime | Kerr-Newman spacetime |
JT-gravity (Teitelboim 83, Jackiw 85) is gravity in 1+1 dimensions with a dilaton.
JT-gravity gives a good approximation to the AdS-factor in the near horizon geometry $AdS_2\times S^{d-2}$ of near-extremal black holes in $d$-dimensional spacetime (NSST18, MTV18).
Via the AdS/CFT-dual of JT-gravity (Almheiri-Polchinski 14) given by random matrix theory (Saad-Shenker-Stanford 19, Stanford-Witten 19) this allows to compute genuine quantum gravity-aspects of near-extremal black holes, such as notable their microscopic black hole entropy. Computations are now under way…
Notice that near-extremal black holes have been observed in nature, by the Chandra telescope see eg here.
The theory is due to
Claudio Teitelboim, Gravitation and hamiltonian structure in two spacetime dimensions, Physics Letters B Volume 126, Issues 1–2, 23 June 1983, Pages 41-45 (doi:10.1016/0370-2693(83)90012-6
Roman Jackiw, Lower dimensional gravity, Nuclear Physics B
Volume 252, 1985, Pages 343-356 (doi:10.1016/0550-3213(85)90448-1)
See also
In AdS/CFT For $AdS_2/CFT_1$:
Relation to random matrix theory (via AdS/CFT and topological recursion):
Phil Saad, Stephen Shenker, Douglas Stanford, JT gravity as a matrix integral (arXiv:1903.11115)
Douglas Stanford, Edward Witten, JT Gravity and the Ensembles of Random Matrix Theory (arXiv:1907.03363)
Application to near horizon geometry of near-extremal black holes:
Pranjal Nayak, Ashish Shukla, Ronak M Soni, Sandip Trivedi, V. Vishal, On the Dynamics of Near-Extremal Black Holes (arXiv:1802.09547)
Upamanyu Moitra, Sandip Trivedi, V. Vishal, Near-Extremal Near-Horizons (arXiv:1808.08239)
Last revised on July 10, 2019 at 11:19:48. See the history of this page for a list of all contributions to it.