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In this work we study how nonminimally coupled theories of gravity modify the usual Friedmann equation, and develop two methods to treat these. The ambiguity in the form of the Lagrangian density of a perfect fluid is emphasized, and the…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Orfeu Bertolami , Jorge Páramos

I propose a new mathematical form for the quantum theory of gravity coupled to matter. The motivation is from the connection between CSW TQFT and the Ashtekar variables. I also connect the algebraic structure of TQFT with some thoughts…

High Energy Physics - Theory · Physics 2009-09-25 Louis Crane

In this work we explore the viability of nonminimally coupled matter- curvature gravity theories, namely the conditions required for the absence of tachyon instabilities and ghost degrees of freedom. We contrast our finds with recent claims…

General Relativity and Quantum Cosmology · Physics 2017-02-22 Orfeu Bertolami , Jorge Páramos

We discuss a class of alternative gravity theories that are specific to four dimensions, do not introduce new degrees of freedom, and come with a physical motivation. In particular we sketch their Hamiltonian formulation, and their relation…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Ingemar Bengtsson

The search for a quantum theory of gravity has followed two parallel but different paths. One aims at arriving at the final theory starting from a priori assumptions as to its form and building it from the ground up. The other tries to…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Olaf Dreyer

We review both the kinematics and dynamics of non-lorentzian theories and their associated geometries. First, we introduce non-lorentzian kinematical spacetimes and their symmetry algebras. Next, we construct actions describing the particle…

High Energy Physics - Theory · Physics 2023-05-31 Eric Bergshoeff , José Figueroa-O'Farrill , Joaquim Gomis

Among the available quantum gravity proposals, string theory, loop quantum gravity, non-commutative geometry, group field theory, causal sets, asymptotic safety, causal dynamical triangulation, emergent gravity are among the best motivated…

General Relativity and Quantum Cosmology · Physics 2017-06-28 Aurélien Barrau

We analyze the R + R2 model of quantum gravity where terms quadratic in the curvature tensor are added to the General Relativity action. This model was recently proved to be a self-consistent quantum theory of gravitation, being both…

High Energy Physics - Theory · Physics 2022-04-19 S. A. Larin

We study canonical transformations of general relativity (GR) to provide a novel matter coupling to gravity. Although the transformed theory is equivalent to GR in vacuum, the equivalence no longer holds if a matter field minimally couples…

General Relativity and Quantum Cosmology · Physics 2020-03-10 Katsuki Aoki , Chunshan Lin , Shinji Mukohyama

Guided by a conservative formulation in investigating the physical content of quantum fields, we explore non-standard Wigner classes of particles that could provide the basis for self-interaction models to dark matter. We critically…

High Energy Physics - Theory · Physics 2023-12-14 F. A. da Silva Barbosa , J. M. Hoff da Silva

A review is given of some 2-dimensional metrics for which noncommutative versions have been found. They serve partially to illustrate a noncommutative extension of the moving-frame formalism. All of these models suggest that there is an…

High Energy Physics - Theory · Physics 2007-05-23 M. Buric , J. Madore

We comment on the fact that certain mathematical models that have been proposed in the quantum gravity literature, may not be subject to experimental checks, even if they turn out to be mathematically well defined. This means that they…

High Energy Physics - Theory · Physics 2024-11-12 T. Banks

The general form of N=2 supergravity coupled to an arbitrary number of vector multiplets and hypermultiplets, with a generic gauging of the scalar manifold isometries is given. This extends the results already available in the literature in…

High Energy Physics - Theory · Physics 2009-10-30 L. Andrianopoli , M. Bertolini , A. Ceresole , R. D'Auria , S. Ferrara , P. Fre'

We discuss the generic phenomenology of quantum gravity and, in particular, argue that the observable effects of quantum gravity, associated with new, extended, non-local, non-particle-like quanta, and accompanied by a dynamical…

General Relativity and Quantum Cosmology · Physics 2016-05-17 Lay Nam Chang , Djordje Minic , Chen Sun , Tatsu Takeuchi

These notes summarize a set of lectures on phenomenological quantum gravity which one of us delivered and the other attended with great diligence. They cover an assortment of topics on the border between theoretical quantum gravity and…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Dagny Kimberly , Joao Magueijo

We study scalar, fermionic and gauge fields coupled nonminimally to gravity in the Einstein-Cartan formulation. We construct a wide class of models with nondynamical torsion whose gravitational spectra comprise only the massless graviton.…

High Energy Physics - Theory · Physics 2021-09-22 Georgios K. Karananas , Mikhail Shaposhnikov , Andrey Shkerin , Sebastian Zell

Newton's gravitational constant is shown to be a running coupling constant, much like the familiar running gauge couplings of the Standard Model. This implies that, in models with appropriate particle content, the true Planck scale, i.e.…

High Energy Physics - Theory · Physics 2011-08-17 David Reeb

We experience some challenges in general gravitational theory owing to Einstein to explain late time acceleration of universe. To address this issue, geometric components of gravity have been modified in quite a few occasions to have a more…

General Relativity and Quantum Cosmology · Physics 2024-10-04 Santanu Das , Nilanjana Mahata , Priyanka Ray

Four principles are proposed to underlie the quantum theory of gravity. We show that these suffice to recover the Einstein equations. We also suggest that MOND results from a modification of the classical equivalence principle, due to…

General Relativity and Quantum Cosmology · Physics 2016-10-07 Lee Smolin

Quantum gravity may involve models with stochastic fluctuations of the associated metric field, around some fixed background value. Such stochastic models of gravity may induce decoherence for matter propagating in such fluctuating space…

High Energy Physics - Phenomenology · Physics 2009-07-22 Alexander Sakharov , Nick Mavromatos , Anselmo Meregaglia , Andre Rubbia , Sarben Sarkar