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Starting from an action for discretized gravity we derive a canonical formalism that exactly reproduces the dynamics and (broken) symmetries of the covariant formalism. For linearized Regge calculus on a flat background -- which exhibits…

General Relativity and Quantum Cosmology · Physics 2011-08-11 Bianca Dittrich , Philipp A Hoehn

Teleparallel gravity offers a new avenue in which to construct gravitational models beyond general relativity. While teleparallel gravity can be framed in a way to be dynamically equivalent to general relativity, its modifications are…

General Relativity and Quantum Cosmology · Physics 2021-01-28 Sebastian Bahamonde , Viktor Gakis , Stella Kiorpelidi , Tomi Koivisto , Jackson Levi Said , Emmanuel N. Saridakis

Local gravitational theories with more than four derivatives have remarkable quantum properties, e.g., they are super-renormalizable and may be unitary in the Lee-Wick sense. Therefore, it is important to explore also the IR limit of these…

General Relativity and Quantum Cosmology · Physics 2018-02-27 Antonio Accioly , Breno L. Giacchini , Ilya L. Shapiro

A general form for the equation of motion for higher-curvature gravity is obtained. The interesting feature of the analysis is that it can handle Lagrangians which contain non-minimal kinetic scalar couplings. Certain subtle features, which…

General Relativity and Quantum Cosmology · Physics 2015-01-22 Saugata Chatterjee

We consider the evolution of perturbations to a flat FRW universe that arise from a ``stiff source,'' such as a self-ordering cosmic field that forms in a global symmetry-breaking phase transition and evolves via the Kibble mechanism.…

Astrophysics · Physics 2009-10-22 Andrew H. Jaffe

The observation of primordial correlators by cosmological surveys is a very promising avenue to probe high energies and the perturbative regime of quantum gravity. Hence, it is imperative that we understand how these observables are shaped…

High Energy Physics - Theory · Physics 2021-01-20 Enrico Pajer

In this paper, we scrutinize very closely the cosmology in the proxy theory to massive gravity obtained in Phys. Rev. D84 (2011) 043503. This proxy theory was constructed by covariantizing the decoupling limit Lagrangian of massive gravity…

High Energy Physics - Theory · Physics 2014-05-21 Lavinia Heisenberg , Rampei Kimura , Kazuhiro Yamamoto

The geometrical nature of gravity emerges from the universality dictated by the equivalence principle. In the usual formulation of General Relativity, the geometrisation of the gravitational interaction is performed in terms of the…

High Energy Physics - Theory · Physics 2019-03-19 Jose Beltran Jimenez , Lavinia Heisenberg , Tomi S. Koivisto

We study possible restrictions on the structure of curvature corrections to gravitational theories in the context of their corresponding Kac--Moody algebras, following the initial work on E10 in Class. Quant. Grav. 22 (2005) 2849. We first…

High Energy Physics - Theory · Physics 2009-11-11 Thibault Damour , Amihay Hanany , Marc Henneaux , Axel Kleinschmidt , Hermann Nicolai

We investigate several quantum phenomena related to quadratic gravity after rewriting the general fourth-order action in a more convenient form that is second-order in derivatives and produces only first-class constraints in phase space. We…

High Energy Physics - Theory · Physics 2022-12-22 Jisuke Kubo , Jeffrey Kuntz

In the present work we investigate the Newtonian limit of higher-derivative gravity theories with more than four derivatives in the action, including the non-analytic logarithmic terms resulting from one-loop quantum corrections. The first…

General Relativity and Quantum Cosmology · Physics 2021-06-02 Nicolò Burzillà , Breno L. Giacchini , Tibério de Paula Netto , Leonardo Modesto

We derive the gravitational Lagrangian to all orders of curvature when the canonical constraint algebra is deformed by a phase space function as predicted by some studies into loop quantum cosmology. The deformation function seems to be…

General Relativity and Quantum Cosmology · Physics 2020-11-25 Rhiannon Cuttell , Mairi Sakellariadou

The $f(R)$ gravity models proposed by Hu-Sawicki and Starobinsky are generic for local gravity constraints to be evaded. The large deviations from these models either result into violation of local gravity constraints or the modifications…

High Energy Physics - Theory · Physics 2010-03-26 I. Thongkool , M. Sami , R. Gannouji , S. Jhingan

We investigate the cosmological perturbations in generalized gravity, where the Ricci scalar and a scalar field are non-minimally coupled via an arbitrary function. In the Friedmann-Lemaitre-Robertson-Walker background, by studying the…

High Energy Physics - Theory · Physics 2009-07-30 Xiangdong Ji , Tower Wang

General Relativity can be reformulated as a diffeomorphism invariant gauge theory of the Lorentz group, with Lagrangian of the type $f(F\wedge F)$, where $F$ is the curvature 2-form of the spin connection. A theory from this class with a…

General Relativity and Quantum Cosmology · Physics 2021-10-04 Kirill Krasnov , Ermis Mitsou

The non-linear realisation based on $A_1^{+++}$ is known to describe gravity in terms of both the graviton and the dual graviton. We extend this analysis at the linearised level to find the equations of motion for the first higher dual…

High Energy Physics - Theory · Physics 2023-06-13 Nicolas Boulanger , Paul P. Cook , Josh A. O'Connor , Peter West

We study cosmological $\alpha$-attractors in superconformal/supergravity models, where $\alpha$ is related to the geometry of the moduli space. For $\alpha=1$ attractors \cite{Kallosh:2013hoa} we present a generalization of the previously…

High Energy Physics - Theory · Physics 2015-06-19 Sergio Cecotti , Renata Kallosh

This paper presents the extension from flat spacetime into curved spacetime of the area of theoretical investigation that has been known as topological gauge field theory. The extension here presented is based upon a new derivation of the…

Mathematical Physics · Physics 2007-05-23 Joseph Saaty

The review is devoted to consideration of possible observational consequences of modified gravity theories, suggested for explanation of the contemporary accelerated expansion of the universe. The major attention is paid to F(R)-models. It…

General Relativity and Quantum Cosmology · Physics 2019-11-11 Elena Arbuzova

We present a higher dimensional model where gravity is bound to a brane due to Anderson localization. The extra dimensions are taken to be a disordered crystal of branes, with randomly distributed tensions of order the fundamental scale.…

High Energy Physics - Theory · Physics 2015-06-12 Ira Z. Rothstein