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Group field theories are a new type of field theories over group manifolds and a generalization of matrix models, that have recently attracted much interest in quantum gravity research. They represent a development of and a possible link…

High Energy Physics - Theory · Physics 2007-11-28 Daniele Oriti

It is known that in f(R) theories of gravity with an independent connection which can be both non-metric and non symmetric, this connection can always be algebraically eliminated in favour of the metric and the matter fields, so long as it…

General Relativity and Quantum Cosmology · Physics 2010-11-03 Vincenzo Vitagliano , Thomas P. Sotiriou , Stefano Liberati

A Schroedinger equation proposed for the GMP gapped spin-2 mode of fractional Quantum Hall states is found from a novel non-relativistic limit, applicable only in 2+1 dimensions, of the massive spin-2 Fierz-Pauli field equations. It is also…

High Energy Physics - Theory · Physics 2018-04-11 Eric A. Bergshoeff , Jan Rosseel , Paul K. Townsend

Space-time symmetries are a crucial ingredient of any theoretical model in physics. Unlike internal symmetries, which may or may not be gauged and/or spontaneously broken, space-time symmetries do not admit any ambiguity: they are gauged by…

High Energy Physics - Theory · Physics 2015-06-19 Luca V. Delacretaz , Solomon Endlich , Alexander Monin , Riccardo Penco , Francesco Riva

We show that general relativity can be viewed as a higher gauge theory involving a categorical group, or 2-group, called the teleparallel 2-group. On any semi-Riemannian manifold M, we first construct a principal 2-bundle with the Poincare…

General Relativity and Quantum Cosmology · Physics 2017-08-22 John C. Baez , Derek K. Wise

Gravity theories with non-minimally coupled scalar fields are used as characteristic examples in order to demonstrate the challenges, pitfalls and future perspectives of considering alternatives to general relativity. These lecture notes…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Thomas P. Sotiriou

We present a framework for the study of lensing in spherically symmetric spacetimes within the context of f(R) gravity. Equations for the propagation of null geodesics, together with an expression for the bending angle are derived for any…

General Relativity and Quantum Cosmology · Physics 2011-02-25 Anne Marie Nzioki , Peter K. S. Dunsby , Rituparno Goswami , Sante Carloni

The gravitational field exterior respectively interior to a spherically symmetric, isolated body made of perfect fluid is examined within the quasi-metric framework (QMF). It is required that the gravitational field is "metrically static",…

General Relativity and Quantum Cosmology · Physics 2024-03-21 Dag Østvang

A relatively simple approach to noncommutative gravity utilizes the gauge theory formulation of general relativity and involves replacing the Lorentz gauge group by a larger group. This results in additional field degrees of freedom which…

High Energy Physics - Theory · Physics 2009-07-30 A. Stern

I describe the treatment of gravity as a quantum effective field theory. This allows a natural separation of the (known) low energy quantum effects from the (unknown) high energy contributions. Within this framework, gravity is a well…

General Relativity and Quantum Cosmology · Physics 2010-11-01 John F. Donoghue

It is shown that a recently proposed model for the gravitational interaction in non relativistic quantum mechanics is the instantaneous action at a distance limit of a field theoretic model containing a negative energy field. It reduces to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sergio De Filippo

We argue that space-time properties are not absolute with respect to the used frame of reference as is to be expected according to ideas of relativity of space and time properties by Berkley - Leibnitz - Mach- Poincar\'{e}. From this point…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. V. Verozub

A metric-field approach to gravitation is presented. It is based on an idea of dependency of space-time properties on measuring instruments. Some bimetric equations that realize this idea are considered. They were tested by the binary…

General Relativity and Quantum Cosmology · Physics 2009-11-07 L. V. Verozub

We show how the recently introduced "Pure Connection Formulation" of gravity provides a natural framework for approaching the problem of computing graviton scattering amplitudes. In particular, we show that the interaction vertices are…

High Energy Physics - Theory · Physics 2013-06-19 Gianluca Delfino

We study the relational cosmological dynamics emerging from interacting group field theory (GFT) models minimally coupled to a massless clock scalar field and a self-interacting scalar field. We focus on two broad classes of GFT…

General Relativity and Quantum Cosmology · Physics 2025-08-25 Tom R. Ladstätter , Luca Marchetti

A higher order theory of gravitation is considered which is obtained by modifying Einstein field equations. The Lagrange used to modify this in the form a polynomial in (scalar curvature) R. In this equation we have studied spherical…

General Relativity and Quantum Cosmology · Physics 2009-11-04 S. N. Pandey , B. K. Sinha

Spin networks are at the core of quantum gravity. Our aim is to plug the mathematical community at large into the procedures turn to create a finite quantum theory of general relativity. For this, because of the different cultural…

Differential Geometry · Mathematics 2007-05-23 Andrei Tyurin

We live at a time of contradictory messages about how successfully we understand gravity. General Relativity seems to work very well in the Earth's immediate neighborhood, but arguments abound that it needs modification at very small and/or…

General Relativity and Quantum Cosmology · Physics 2010-02-23 C. P. Burgess

In this paper we discuss singularity theorems in quantum gravity using effective field theory methods. To second order in curvature, this effective field theory contains two new degrees of freedom which have important implications for the…

General Relativity and Quantum Cosmology · Physics 2020-10-15 Folkert Kuipers , Xavier Calmet

We give a very concise review of the group field theory formalism for non-perturbative quantum gravity, a higher dimensional generalisation of matrix models. We motivate it as a simplicial and local realisation of the idea of 3rd…

General Relativity and Quantum Cosmology · Physics 2012-03-27 Daniele Oriti