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A new Lorentz gauge gravity model with R^2-type Lagrangian is proposed. In the absence of classical torsion the model admits a topological phase with an arbitrary metric. We analyze the equations of motion in constant curvature space-time…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Y. M. Cho , D. G. Pak , B. S. Park

The recently proposed loop representation, used previously to find exact solutions to the quantum constraints of general relativity, is here used to quantize linearized general relativity. The Fock space of graviton states and its…

High Energy Physics - Theory · Physics 2010-11-01 Abhay Ashtekar , Carlo Rovelli , Lee Smolin

In this work, we use the framework of effective field theory to couple Einstein's gravity to quantum electrodynamics (QED) and determine the gravitational corrections to the two-loop beta function of the electric charge in arbitrary…

High Energy Physics - Theory · Physics 2021-12-15 L. Ibiapina Bevilaqua , M. Dias , A. C. Lehum , C. R. Senise , A. J. da Silva , Huan Souza

The quantum dynamics of the gravitational field non-minimally coupled to an (also dynamical) scalar field is studied in the {\em broken phase}. For a particular value of the coupling the system is classically conformal, and can actually be…

High Energy Physics - Theory · Physics 2015-06-19 Enrique Alvarez , Mario Herrero-Valea , C. P. Martín

An alternative formulation of the no-boundary initial state of the universe in the Euclidean quantum theory of gravity is proposed. Unlike the no-boundary Hartle-Hawking wave function, in which time appears together with macroscopic…

General Relativity and Quantum Cosmology · Physics 2023-10-24 Natalia Gorobey , Alexander Lukyanenko , A. V. Goltsev

Recently\cite{BQG}, it was shown that quantum effects of matter could be identified with the conformal degree of freedom of the space-time metric. Accordingly, one can introduce quantum effects either by making a scale transformation (i.e.…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Fatimah Shojai , Ali Shojai , Mehdi Golshani

We intend to clarify the interplay between boundary terms and conformal transformations in scalar-tensor theories of gravity. We first consider the action for pure gravity in five dimensions and show that, on compactifing a la Kaluza-Klein…

General Relativity and Quantum Cosmology · Physics 2009-11-07 R. Casadio , A. Gruppuso

We explicitly calculate the induced gravity theory at the boundary of an asymptotically Anti-de Sitter five dimensional Einstein gravity. We also display the action that encodes the dynamics of radial diffeomorphisms. It is found that the…

High Energy Physics - Theory · Physics 2008-11-26 Rodrigo Aros , Mauricio Romo , Nelson Zamorano

We analyze the construction of conformal theories of gravity in the realm of teleparallel theories. We first present a family of conformal theories which are quadratic in the torsion tensor and are constructed out of the tetrad field and of…

General Relativity and Quantum Cosmology · Physics 2012-01-19 J. W. Maluf , F. F. Faria

We derive a manifestly duality-symmetric formulation of the action principle for conformal gravity linearized around Minkowski space-time. The analysis is performed in the Hamiltonian formulation, the fourth-order character of the equations…

High Energy Physics - Theory · Physics 2021-05-26 Hapé Fuhri Snethlage , Sergio Hörtner

We present a novel derivation of the spacetime metric generated by matter, without invoking Einstein's field equations. For static sources, the metric arises from a relativistic formulation of D'Alembert's principle, where the inertial…

History and Philosophy of Physics · Physics 2025-10-17 Jaume de Haro , Emilio Elizalde

In this paper, we will make an attempt to clarify the relation between three-dimensional euclidean loop quantum gravity with vanishing cosmological constant and quantum field theory in the continuum. We will argue, in particular, that in…

General Relativity and Quantum Cosmology · Physics 2018-10-22 Wolfgang Wieland

It is very likely that the quantum description of spacetime is quite different from what we perceive at large scales, $l\gg (G\hbar/c^3)^{1/2}$. The long wave length description of spacetime, based on Einstein's equations, is similar to the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 T. Padmanabhan

Cylindrically reduced Einstein gravity can be regarded as an $SL(2,R)/SO(2)$ sigma model coupled to 2D dilaton gravity. By using the corresponding 2D diffeomorphism algebra of constraints and the asymptotic behaviour of the Ernst equation…

General Relativity and Quantum Cosmology · Physics 2009-01-16 J. Cruz , A. Mikovic , J. Navarro-Salas

Conformal symmetry always played an important role in field theory (both quantum and classical) and in gravity. We present construction of quantum conformal gravity and discuss its features regarding scattering amplitudes and quantum…

High Energy Physics - Theory · Physics 2018-12-18 Leslaw Rachwal

We study nonlinear gravity theories in both the metric and the Palatini (metric-affine) formalisms. The nonlinear character of the gravity lagrangian in the metric formalism causes the appearance of a scalar source of matter in Einstein's…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Gonzalo J. Olmo , William Komp

We investigate the Cartan formalism in $F(R)$ gravity. $F(R)$ gravity has been introduced as a theory to explain cosmological accelerated expansion by replacing the Ricci scalar $R$ in the Einstein-Hilbert action with a function of $R$. As…

General Relativity and Quantum Cosmology · Physics 2022-10-13 Tomohiro Inagaki , Masahiko Taniguchi

One of several possibilities to construct a quantum theory of gravity is employing the Feynman path integral. This approach is plagued by some problems: the integration measure is not uniquely defined, the Einstein-Hilbert action unbounded,…

High Energy Physics - Lattice · Physics 2008-02-03 J. Riedler

We construct explicitly deformations of Einstein's theory of gravity that are consistent and phenomenologically viable since they respect, in particular, cosmological backgrounds. We show that these deformations have unique symmetries in…

High Energy Physics - Theory · Physics 2013-05-30 Felix Berkhahn , Dennis Dietrich , Stefan Hofmann , Florian Kühnel , Parvin Moyassari

We explore a background-independent theory of composite gravity. The vacuum expectation value of the composite metric satisfies Einstein's equations (with corrections) as a consistency condition, and selects the vacuum spacetime. A…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Austin J. Batz , Joshua Erlich , Luke Mrini
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