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Gauge-invariant treatments of general-relativistic higher-order perturbations on generic background spacetime is proposed. After reviewing the general framework of the second-order gauge-invariant perturbation theory, we show the fact that…

General Relativity and Quantum Cosmology · Physics 2012-05-24 Kouji Nakamura

We point out that there exists a family of transformations acting on BF-type Lagrangians of gravity, with Lagrangians related by such a transformation corresponding to classically equivalent theories. A transformation of this type…

General Relativity and Quantum Cosmology · Physics 2018-07-11 Kirill Krasnov

The gauge approach to the theory of gravity has been widely discussed as an alternative to standard general relativity. The Poincar{\'e} group, as a symmetry group of all relativistic theories in the absence of gravitation, constitutes the…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Marcin Kaźmierczak

Linear cosmological perturbation theory is pivotal to a theoretical understanding of current cosmological experimental data provided e.g. by cosmic microwave anisotropy probes. A key issue in that theory is to extract the gauge invariant…

General Relativity and Quantum Cosmology · Physics 2010-02-17 K. Giesel , S. Hofmann , T. Thiemann , O. Winkler

A new set of boundary conditions for string propagators is proposed in this paper. The boundary conditions are parametrized by a complex number $\lambda$. Under these new boundary conditions, the left-moving and right-moving modes are…

High Energy Physics - Theory · Physics 2021-09-29 Matheus Loss Lize , Bochen Lyu , Warren Siegel , Yu-Ping Wang

We develop a novel approach to gravity that we call `matrix general relativity' (MGR) or `gravitational chromodynamics' (GCD or GQCD for quantum version). Gravity is described in this approach not by one Riemannian metric (i.e. a symmetric…

High Energy Physics - Theory · Physics 2011-03-31 Ivan G. Avramidi

We present a new Lagrangian formulation of General Relativity with cosmological constant, coupled to Yang-Mills gauge theory. The formulation has a manifest color/kinematics-dual structure, both in the choice of fundamental fields and in…

General Relativity and Quantum Cosmology · Physics 2024-10-25 Yasha Neiman

We analyze the moments of the isosinglet generalized parton distributions H, E, H-tilde, E-tilde of the nucleon in one-loop order of heavy-baryon chiral perturbation theory. We discuss in detail the construction of the operators in the…

High Energy Physics - Phenomenology · Physics 2020-06-19 M. Diehl , A. Manashov , A. Schafer

We develop a generalized projective gauge theory of gravity and spinorial matter, incorporating both non-metricity and torsion. The work is divided into three parts. Part I provides a thorough review of General Relativity, Metric-Affine…

General Relativity and Quantum Cosmology · Physics 2025-11-18 Michael J. Connolly

We derive the kinematic Hamiltonian for the so-called "new general relativity" class of teleparallel gravity theories, which is the most general class of theories whose Lagrangian is quadratic in the torsion tensor and does not contain…

General Relativity and Quantum Cosmology · Physics 2019-05-06 Daniel Blixt , Manuel Hohmann , Christian Pfeifer

We examine the variational and conformal structures of higher order theories of gravity which are derived from a metric-connection Lagrangian that is an arbitrary function of the curvature invariants. We show that the constrained first…

General Relativity and Quantum Cosmology · Physics 2009-10-30 S. Cotsakis , J. Miritzis , L. Querella

We develop a new technique for studying the perturbations of dRGT-type massive gravity theories around arbitrary background spacetimes. Built initially from the vielbein formulation of the theory, but switching back to the metric…

High Energy Physics - Theory · Physics 2025-11-25 Kieran Wood

We shall here consider extended theories of gravitation in the metric-affine formalism with matter coupled directly to the connection. A sufficiently general procedure will be exhibited to solve the resulting field equation associated to…

General Relativity and Quantum Cosmology · Physics 2011-01-05 L. Fatibene , M. Francaviglia , S. Mercadante

We compute two-point functions of chiral operators Tr(\Phi^k) for any k, in {\cal N}=4 supersymmetric SU(N) Yang-Mills theory. We find that up to the order g^4 the perturbative corrections to the correlators vanish for all N. The…

High Energy Physics - Theory · Physics 2009-10-31 S. Penati , A. Santambrogio , D. Zanon

The Generalized Chiral Perturbation Theory enlarges the framework of the standard $\chi$PT, relaxing certain assumptions which do not necessarily follow from QCD or from experiment, and which are crucial for the usual formulation of the low…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Knecht , J. Stern

We discuss a variation of quadratic gravity in which the gravitational interaction remains weakly coupled at all energies, but is assisted by a Yang-Mills gauge theory which becomes strong at the Planck scale. The Yang-Mills interaction is…

High Energy Physics - Theory · Physics 2018-06-20 John F. Donoghue , Gabriel Menezes

The problem of motion in General Relativity has lost its academic status and become an active research area since the next generation of gravity wave detectors will rely upon its solution. Here we will show, within scalar gravity, how ideas…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Rafael A. Porto , Riccardo Sturani

We show that the new type of "non-metric" gravity theories introduced independently by Bengtsson and Krasnov can in fact be reexpressed explicitely as a metrical theory coupled to an auxiliary field. We unravel why such theories possess…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Laurent Freidel

Among relativistic theories of gravitation the closest ones to general relativity are the scalar-tensor ones and these with Lagrangians being any function f(R) of the curvature scalar. A complete chart of relationships between these…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Leszek M. Sokolowski

Higher-order theories of gravity are extensions to general relativity (GR) motivated mainly by high-energy physics searching for GR ultraviolet completeness. They are characterized by the inclusion of correction terms in the…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-14 G. Rodrigues-da-Silva , L. G. Medeiros
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