1,375 research outputs found
The first law of thermodynamics in Lifshitz black holes revisited
We obtain the mass expression of the three- and five-dimensional Lifshitz
black holes by em- ploying the recently proposed quasilocal formulation of
conserved charges, which is based on the off-shell extension of the ADT
formalism. Our result is consistent with the first law of black hole
thermodynamics and resolves the reported discrepancy between the ADT formalism
and the other conventional methods. The same mass expression of Lifshitz black
holes is obtained by using an- other quasilocal method by Padmanabhan. We also
discuss the reported discrepancy in the context of the extended first law of
black hole thermodynamics by allowing the pressure term.Comment: 16pages, improved version to appear in JHE
Transparentizing Black Holes to Eternal Traversable Wormholes
We present the gravity description of evaporating black holes that end up
with eternal traversable wormholes where every would-be behind horizon degree
is available in asymptotic regions. The transition is explicitly realized by a
time-dependent bulk solution in the two-dimensional Einstein-dilaton gravity.
In this solution, the initial AdS black hole is evolved into an eternal
traversable wormhole free of any singularity, which may be dubbed as
transparentization of black holes to eternal traversable wormholes. The bulk
construction completely matches with the boundary description governed by the
Schwarzian boundary theory. We also obtain solutions describing eternal
traversable wormholes as well as excitations by an additional matter and
graviton oscillations on eternal traversable wormholes, which show that the
eternal traversable wormhole states are gapped and non-chaotic. Embedding the
2d solution into a 4d traversable wormhole connecting two magnetically charged
holes, we discuss 4d scattering of a wave incident upon one end of the
traversable wormhole.Comment: 1+34 pages, 5 figures, 4 tables; v2: various typos fixed, Ref. added;
v3: a few typos fixed, published versio
Quantization of Jackiw-Teitelboim gravity with a massless scalar
We study canonical quantization of Jackiw-Teibelboim (JT) gravity coupled to
a massless scalar field. We provide concrete expressions of matter SL(2,{\,\bf
R}) charges and the boundary matter operators in terms of the creation and
annihilation operators in the scalar field. The matter charges are represented
in the form of an oscillator (Jordon-Schwinger) realization of the SL(2,{\,\bf
R}) algebra. We also show how the gauge constraints are implemented
classically, by matching explicitly classical solutions of Schwarzian dynamics
with bulk solutions. We introduce -point transition functions defined by
insertions of boundary matter operators along the two-sided Lorentzian
evolution, which may fully spell out the quantum dynamics in the presence of
matter. For the Euclidean case, we proceed with a two-sided picture of the disk
geometry and consider the two-sided -point correlation function where
initial and final states are arranged by inserting matter operators in a
specific way. For some simple initial states, we evaluate the correlation
function perturbatively. We also discuss some basic features of the two-sided
correlation functions with additional insertions of boundary matter operators
along the two-sided evolution.Comment: 1+27 pages, 3 figures. v2: ref. added, minor wording change
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