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The Weil-Petersson volumes of moduli spaces of hyperbolic surfaces with geodesic boundaries are known to be given by polynomials in the boundary lengths. These polynomials satisfy Mirzakhani's recursion formula, which fits into the general…

Mathematical Physics · Physics 2023-07-11 Timothy Budd , Bart Zonneveld

We study two-dimensional Jackiw-Teitelboim gravity on the disk topology by using a BF gauge theory in the presence of a boundary term. The system can be equivalently written in a supersymmetric way by introducing auxiliary gauginos and…

High Energy Physics - Theory · Physics 2023-07-06 Luca Griguolo , Luigi Guerrini , Rodolfo Panerai , Jacopo Papalini , Domenico Seminara

We present matching conditions for distributional sources of arbitrary codimension in the context of Lovelock gravity. Then we give examples, treating maximally symmetric distributional p-branes, embedded in flat, de Sitter and anti-de…

High Energy Physics - Theory · Physics 2009-11-11 Christos Charmousis , Robin Zegers

In brane world scenarios with a bulk scalar field between two branes it is known that 4-dimensional Einstein gravity is restored at low energies on either brane. By using a gauge-invariant gravitational and scalar perturbation formalism we…

High Energy Physics - Theory · Physics 2009-11-07 Shinji Mukohyama

With non-perturbative de Sitter gravity and holography in mind, we deduce the genus expansion of de Sitter Jackiw-Teitelboim (dS JT) gravity. We find that this simple model of quantum cosmology has an effective string coupling which is pure…

High Energy Physics - Theory · Physics 2025-03-28 Jordan Cotler , Kristan Jensen

This work investigates the cosmology of a thick brane within the context of $f(\mathbb{Q})$ gravity, an extension of symmetric teleparallelism. Using a five-dimensional Friedmann-Lema\^itre-Robertson-Walker metric, we solve the field…

General Relativity and Quantum Cosmology · Physics 2026-03-05 J. J. Ramos , J. E. G. Silva

For the 2-brane Randall-Sundrum model, we calculate the bulk geometry for strong gravity, in the low matter density regime, for slowly varying matter sources. This is relevant for astrophysical or cosmological applications. The warped…

High Energy Physics - Theory · Physics 2009-11-07 T. Wiseman

We develop the Ostrogradsky-Hamilton formalism for geodetic brane gravity, described by the Regge-Teitelboim geometric model in higher codimension. We treat this gravity theory as a second-order derivative theory, based on the extrinsic…

High Energy Physics - Theory · Physics 2022-03-14 Riccardo Capovilla , Giovany Cruz , Efraín Rojas

We investigate thick brane solutions in the Horndeski gravity. In this setup, we found analytical solutions, applying the first-order formalism to two scalar fields where the first field comes from the non-minimal scalar-tensor coupling and…

High Energy Physics - Theory · Physics 2024-02-06 Fabiano F. Santos , F. A. Brito

We consider five-dimensional gravity with a Gauss-Bonnet term in the bulk and an induced gravity term on a 2-brane of codimension-2. We show that this system admits BTZ black holes on the 2-brane which are extended into the bulk with…

High Energy Physics - Theory · Physics 2008-11-26 Bertha Cuadros-Melgar , Eleftherios Papantonopoulos , Minas Tsoukalas , Vassilios Zamarias

We investigate the evolution of scalar perturbations in $f(T)$ teleparallel gravity and its effects on the cosmic microwave background (CMB) anisotropy. The $f(T)$ gravity generalizes the teleparallel gravity which is formulated on the…

General Relativity and Quantum Cosmology · Physics 2018-05-22 Rafael C. Nunes

We revisit the gravity path integral formalism of JT gravity. We explain how to gauge fix the path integral in the presence of asymptotic boundaries and conical defects, and resolve an ambiguity regarding the dilaton gravity operator that…

High Energy Physics - Theory · Physics 2023-10-26 Guanda Lin , Mykhaylo Usatyuk

The f(T) gravity is nowadays being widely used for cosmological model building, as well as for constructing spherically symmetric solutions. In its classical pure tetrad formulation it violates the local Lorentz symmetry in the space of…

General Relativity and Quantum Cosmology · Physics 2021-09-24 Alexey Golovnev

We consider brane gravity as described by the Regge-Teitelboim geometric model, in any codimension. In brane gravity our spacetime is modeled as the time-like world volume spanned by a space-like brane in its evolution, seen as a manifold…

High Energy Physics - Theory · Physics 2022-11-23 Riccardo Capovilla , Giovany Cruz , Efraín Rojas

We study how exotic branes, i.e. branes whose tensions are proportional to $g_s^{-\alpha}$, with $\alpha>2$, are realised in Exceptional Field Theory (EFT). The generalised torsion of the Weitzenb\"ock connection of the…

High Energy Physics - Theory · Physics 2018-08-14 Ilya Bakhmatov , David Berman , Axel Kleinschmidt , Edvard Musaev , Ray Otsuki

The radion on the de Sitter brane is investigated at the linear perturbation level, using the covariant curvature tensor formalism developed by Shiromizu, Maeda and Sasaki. It is found that if there is only one de Sitter brane with positive…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Uchida Gen , Misao Sasaki

We study the gravitational edge modes (GrEMs) and gauge edge modes (GaEMs) in Jackiw-Teitelboim (JT) gravity on a wiggling boundary. The wiggling effect manifests as a series of spacetime topological and bulk constraints for both conical…

High Energy Physics - Theory · Physics 2025-11-04 Kang Liu , Shoupan Liu , Xiao-Mei Kuang

In this work we consider AdS$_3$ gravitational theory with certain mixed boundary conditions at spatial infinity. Using the Chern-Simons formalism of AdS$_3$ gravity, we find that these boundary conditions lead to non-trivial boundary…

High Energy Physics - Theory · Physics 2021-06-23 Miao He , Yi-hong Gao

In this paper, we study the structure and gravitational resonances of thick branes generated by a mimetic scalar field in $f(R)$ gravity. We obtain several typical thick brane solutions for $f(R)=R+\alpha R^2$. To study their stability, we…

General Relativity and Quantum Cosmology · Physics 2022-04-29 Jing Chen , Wen-Di Guo , Yu-Xiao Liu

We propose a definition for the Lorentzian Jackiw-Teitelboim (JT) gravity path integral that includes Lorentzian topology changing configurations. The construction is inspired by the bosonic string genus expansion on singular Lorentzian…

High Energy Physics - Theory · Physics 2022-10-12 Mykhaylo Usatyuk