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Some conceptual issues concerning $f(T)$ theories --a family of modified gravity theories based on absolute parallelism-- are analyzed. Due to the lack of local Lorentz invariance, the autoparallel frames satisfying the field equations are…

General Relativity and Quantum Cosmology · Physics 2011-08-17 Rafael Ferraro , Franco Fiorini

It has recently been proposed that Zamoldchikov's $T \bar{T}$ deformation of two-dimensional CFTs describes the holographic theory dual to AdS$_3$ at finite radius. In this note we use the Gauss-Codazzi form of the Einstein equations to…

High Energy Physics - Theory · Physics 2018-05-29 Marika Taylor

We construct a familly of exact solutions of Lovelock equations describing codimension four branes with discrete symmetry in the transverse space. Unlike what is known from pure Einstein gravity, where such brane solutions of higher…

General Relativity and Quantum Cosmology · Physics 2010-01-15 Robin Zegers

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…

High Energy Physics - Theory · Physics 2023-05-24 Dongsu Bak , Chanju Kim , Sang-Heon Yi

It has been recently discovered that the $\text{T}\bar{\text{T}}$ deformation is closely-related to Jackiw-Teitelboim gravity. At classical level, the introduction of this perturbation induces an interaction between the stress-energy tensor…

High Energy Physics - Theory · Physics 2020-01-08 Riccardo Conti , Stefano Negro , Roberto Tateo

Within the framework of the modified geodetic brane gravity, conformed by the Regge-Teitelboim model and enhanced with a linear term in the extrinsic curvature of the brane, the possibility that under an FRW geometry this theory emulates…

General Relativity and Quantum Cosmology · Physics 2024-08-02 Efraín Rojas , G. Cruz , J. C. Natividad

The gravitino problem is investigated in the framework of Extended Gravity cosmologies. In particular, we consider $f(R)$ gravity, the most natural extension of the Hilbert-Einstein action, and $f(\cal T)$ gravity, the extension of…

General Relativity and Quantum Cosmology · Physics 2020-12-25 Salvatore Capozziello , Gaetano Lambiase

The paper contains a collection of results related to weight structures, $t$-structures, and (more generally) to torsion pairs. For any weight structure $w$ we study (co)homological pure functors; these "ignore all weights except weight…

K-Theory and Homology · Mathematics 2019-10-15 Mikhail V. Bondarko

The Born-Infeld $f(T)$ theory is reduced from the Born-Infeld determinantal gravity in Weitzenb\"ock spacetime. We investigate a braneworld scenario in this theory and obtain an analytic domain wall solution by utilizing the first-order…

High Energy Physics - Theory · Physics 2018-05-30 Ke Yang , Wen-Di Guo , Zi-Chao Lin , Yu-Xiao Liu

Within the path integral formalism, we compute the disk partition functions of two dimensional Liouville and JT quantum gravity theories coupled to a matter CFT of central charge $c$, with cosmological constant $\Lambda$, in the limit…

High Energy Physics - Theory · Physics 2025-02-05 Soumyadeep Chaudhuri , Frank Ferrari

As massive gravity and its extensions offer physically well-defined gravitational theories with a nonzero graviton mass, we present a new extension of the de Rham-Gabadadze-Tolley (dRGT)massive gravity, which is tachyonic massive gravity…

General Relativity and Quantum Cosmology · Physics 2022-03-03 Amin Rezaei Akbarieh , Sobhan Kazempour , Lijing Shao

In this work we study diffeomorphism-invariant metric-affine theories of gravity from the point of view of self-interacting field theories on top of Minkowski spacetime (or other background). We revise how standard metric theories couple to…

General Relativity and Quantum Cosmology · Physics 2023-12-12 Adrià Delhom , Gerardo García-Moreno , Manuel Hohmann , Alejandro Jiménez-Cano , Tomi S. Koivisto

The article communicates gravitational baryogenesis in non-minimal $f(T)$ gravity and $f(T,B)$ teleparallel gravity where $T$ denote the torsion scalar and $B$ a boundary term. These extended teleparallel theories of gravity differ from the…

General Relativity and Quantum Cosmology · Physics 2020-06-08 Snehasish Bhattacharjee

In this article, a novel description of the hypergeometric differential equation found from Gel'fand-Kapranov-Zelevinsky's system (referred to GKZ equation) for Givental's $J$-function in the Gromov-Witten theory will be proposed. The GKZ…

Mathematical Physics · Physics 2019-08-19 Hiroyuki Fuji , Kohei Iwaki , Masahide Manabe , Ikuo Satake

In this paper, as an application of the `Complexity = Volume' proposal, we calculate the growth of the interior of a black hole at late times for finite cutoff JT gravity. Due to this integrable, irrelevant deformation, the spectral…

High Energy Physics - Theory · Physics 2026-05-19 Arpan Bhattacharyya , Saptaswa Ghosh , Sounak Pal , Anandu Vinod

We study the growth of subhorizon perturbations in brane-induced gravity using perturbation theory. We solve for the linear evolution of perturbations taking advantage of the symmetry under gauge transformations along the extra-dimension to…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-10 Roman Scoccimarro

This study explores the extension of teleparallel gravity within the framework of general relativity, introducing an algebraic function $f(T)$ dependent on the torsion scalar $T$. Motivated by the teleparallel formulation, we investigate…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-30 M. Koussour , A. Altaibayeva , S. Bekov , F. Holmurodov , S. Muminov , J. Rayimbaev

We study modifications of general relativity, GR, with nonlinear dispersion relations which can be geometrized on tangent Lorentz bundles. Such modified gravity theories, MGTs, can be modeled by gravitational Lagrange density functionals…

General Physics · Physics 2017-06-13 Panayiotis Stavrinos , Olivia Vacaru , Sergiu I. Vacaru

A detailed Gitman-Lyakhovich-Tyutin analysis for higher-order topologically massive gravity is performed. The full structure of the constraints, the counting of physical degrees of freedom, and the Dirac algebra among the constraints are…

General Relativity and Quantum Cosmology · Physics 2021-08-18 A. Escalante , Jorge Hernández Aguilar

It is well-known that the partition function of the Jackiw-Teitelboim (JT) gravity is obtained by an integral transformation of volumes of moduli spaces for Riemann surfaces, also known as the Weil-Petersson volumes. This fact enables us to…

High Energy Physics - Theory · Physics 2025-05-23 Yasuyuki Hatsuda , Takaki Matsumoto , Kazumi Okuyama