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A defining feature of holographic dualities is that, along with the bulk equations of motion, boundary correlators at any given time t determine those of observables deep in the bulk. We argue that this property emerges from the bulk…

High Energy Physics - Theory · Physics 2015-06-16 Donald Marolf

Aspects of holography or dimensional reduction in gravitational physics are discussed with reference to black hole thermodynamics. Degrees of freedom living on Isolated Horizons (as a model for macroscopic, generic, eternal black hole…

General Relativity and Quantum Cosmology · Physics 2008-02-12 Parthasarathi Majumdar

The cosmological horizon has an associated entropy suggesting that it might encode a quantum mechanical system on its surface. This has motivated extending the principles of the anti-de Sitter (AdS) space/ conformal field theory (CFT)…

High Energy Physics - Theory · Physics 2024-07-22 S. E. Aguilar-Gutierrez

A reconstruction of modified gravity is proposed by establishing a correspondence between the effective density of the modified gravity and the holographic density. The non-homogeneous term in the modified Friedmann equation, generated by…

General Relativity and Quantum Cosmology · Physics 2019-02-20 L. N. Granda

The holographic complexity of formation for the AdS$_3$ $2$-sided Randall-Sundrum model and the AdS$_3$/BCFT$_2$ models is logarithmically divergent according to the volume conjecture, while it is finite using the action proposal. One might…

High Energy Physics - Theory · Physics 2022-02-21 Roberto Auzzi , Stefano Baiguera , Sara Bonansea , Giuseppe Nardelli

We consider the algebra of simple operators defined in a time band in a CFT with a holographic dual. When the band is smaller than the light crossing time of AdS, an entire causal diamond in the center of AdS is separated from the band by a…

High Energy Physics - Theory · Physics 2016-05-25 Souvik Banerjee , Jan-Willem Bryan , Kyriakos Papadodimas , Suvrat Raju

We study the UV divergences in the action of the "Wheeler-de Witt patch" in asymptotically AdS spacetimes, which has been conjectured to be dual to the computational complexity of the state of the dual field theory on a spatial slice of the…

High Energy Physics - Theory · Physics 2017-05-03 Alan Reynolds , Simon F. Ross

To ask a question about a black hole in quantum gravity, one must restrict initial or boundary data to ensure that a black hole is actually present. For two-dimensional dilaton gravity, and probably a much wider class of theories as well,…

General Relativity and Quantum Cosmology · Physics 2009-11-11 S. Carlip

We describe two different, but equivalent semiclassical views of black hole physics in which the equivalence principle and unitarity are both accommodated. In one, unitarity is built-in, while the black hole interior emerges only…

High Energy Physics - Theory · Physics 2023-02-01 Chitraang Murdia , Yasunori Nomura , Kyle Ritchie

We investigate the duality conjecture "Complexity=Action" (CA) for Born-Infeld (BI) gravity model and derive the growth rate of its action within the Wheeler-DeWitt (WDW) patch, which is believed to be dual to the growth rate of quantum…

High Energy Physics - Theory · Physics 2020-04-22 Hamid R. Bakhtiarizadeh , Ghadir Jafari

The idea of holography in gravity arose from the fact that the entropy of black holes is given by their surface area. The holography encountered in gauge/gravity duality has no such relation however; the boundary surface can be placed at an…

High Energy Physics - Theory · Physics 2015-06-05 Samir D. Mathur

We reduce the 4D Einstein-Hilbert action to a constant-radius hypersurface of foliation. The resulting theory is a scalar theory defined on a 3D hypersurface of the original black hole background, and has an exponential potential. Once the…

High Energy Physics - Theory · Physics 2014-11-05 I. Y. Park

We carry out the holographic renormalization of Einstein-Maxwell theory with curvature-squared corrections. In particular, we demonstrate how to construct the generalized Gibbons-Hawking surface term needed to ensure a perturbatively…

High Energy Physics - Theory · Physics 2010-03-19 Sera Cremonini , James T. Liu , Phillip Szepietowski

We compute the ultraviolet divergences of holographic subregion complexity for the left and right factors of the thermofield double state in warped AdS$_3$ black holes, both for the action and the volume conjectures. Besides the linear…

High Energy Physics - Theory · Physics 2019-10-23 Roberto Auzzi , Stefano Baiguera , Arpita Mitra , Giuseppe Nardelli , Nicolo Zenoni

We employ the holographic method to study fluctuations and dissipation of an $n$-dimensional moving mirror coupled to quantum critical theories in $d$ spacetime dimensions. The bulk counterpart of the mirror with perfect reflection is a…

High Energy Physics - Theory · Physics 2014-03-19 Chen-Pin Yeh , Jen-Tsung Hsiang , Da-Shin Lee

In this paper, we study the physical significance of the thermodynamic volumes of AdS black holes using the Noether charge formalism of Iyer and Wald. After applying this formalism to study the extended thermodynamics of a few examples, we…

High Energy Physics - Theory · Physics 2017-04-13 Josiah Couch , Willy Fischler , Phuc H. Nguyen

We consider holographic cosmological models of dark energy in which the infrared cutoff is set by the Hubble's radius. We show that any interacting dark energy model with a matter like term able to alleviate the coincidence problem (i.e.,…

Cosmology and Nongalactic Astrophysics · Physics 2012-07-03 Iván Durán , Luca Parisi

In classical analysis, the convergence behavior of power series solutions to differential or recurrence equations is generally assumed to be invariant under internal rearrangement. This paper challenges that belief by proving that, for…

Classical Analysis and ODEs · Mathematics 2025-04-15 Yoon-Seok Choun

A Hamiltonian framework is introduced to encompass non-rotating (but possibly charged) black holes that are ``isolated'' near future time-like infinity or for a finite time interval. The underlying space-times need not admit a stationary…

General Relativity and Quantum Cosmology · Physics 2014-11-17 A. Ashtekar , A. Corichi , K. Krasnov

The thermodynamic and euclidean functional integral approaches to black hole entropy are discussed. The existence of some freedom in the definition of the entropy is pointed out and the possibility of a departure from the semiclassical…

General Relativity and Quantum Cosmology · Physics 2007-05-23 P. Mitra