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We exploit an interpretation of gravity as the symmetry broken phase of a de Sitter gauge theory to construct new solutions to the first order field equations. The new solutions are constructed by performing large $Spin(4,1)$ gauge…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Andrew Randono

An so(4,C)-covariant hamiltonian formulation of a family of generalized Hilbert-Palatini actions depending on a parameter (the so called Immirzi parameter) is developed. It encompasses the Ashtekar-Barbero gravity which serves as a basis of…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Sergei Alexandrov

We embed the Loop Quantum Gravity Barbero-Immirzi parameter and field within an action describing 4D, $\cal N$ = 1 supergravity and thus within a Low Energy Effective Action of Superstring/M-Theory. We use the fully gauge-covariant…

High Energy Physics - Theory · Physics 2009-09-29 S. James Gates , Sergei V. Ketov , Nicolas Yunes

We apply the ADM approach to obtain a Hamiltonian description of the Einstein-Hilbert action. In doing so we add four new ingredients: (i) We eliminate the diffeomorphism constraints. (ii) We replace the densities $\sqrt g$ by a function…

General Relativity and Quantum Cosmology · Physics 2014-05-01 Claus Gerhardt

We explore the renormalization group (RG) properties of quantum gravity, using the vielbein and the spin connection as the fundamental field variables. We require the effective action to be invariant under the semidirect product of…

High Energy Physics - Theory · Physics 2011-11-07 Jan-Eric Daum , Martin Reuter

Einstein Gravity can be formulated as a gauge theory with the tangent space respecting the Lorentz symmetry. In this paper we show that the dimension of the tangent space can be larger than the dimension of the manifold and by requiring the…

High Energy Physics - Theory · Physics 2013-10-18 Ali H. Chamseddine , Viatcheslav Mukhanov

Riemann-Cartan space time $U_{4}$ is considered here. It has been shown that when we link topological Nieh-Yan density with the gravitational constant then we get Einstein-Hilbert Lagrangian as a consequence.

General Relativity and Quantum Cosmology · Physics 2009-11-11 Prasanta Mahato

A Poincar\'{e} gauge theory of (2+1)-dimensional gravity is developed. Fundamental gravitational field variables are dreibein fields and Lorentz gauge potentials, and the theory is underlain with the Riemann-Cartan space-time. The most…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Toshiharu Kawai

We investigate cosmological predictions on the early universe based on the noncommutative geometry models of gravity coupled to matter. Using the renormalization group analysis for the Standard Model with right handed neutrinos and Majorana…

High Energy Physics - Theory · Physics 2009-08-27 Matilde Marcolli , Elena Pierpaoli

In standard general relativity the universe cannot be started with arbitrary initial conditions, because four of the ten components of the Einstein's field equations (EFE) are constraints on initial conditions. In the previous work it was…

General Relativity and Quantum Cosmology · Physics 2017-11-08 Tomonori Totani

The search for a quantum theory of gravity has become one of the most well-known problems in theoretical physics. Problems quantizing general relativity because it is not renormalizable have led to a search for a new theory of gravity that,…

Mathematical Physics · Physics 2013-12-06 Timothy D. Andersen

De Sitter space-time, essentially our own universe, is plagued by problems at the quantum level. Here we propose that Lorentzian de Sitter space-time is not fundamental but constitutes only an effective description of a more fundamental…

High Energy Physics - Theory · Physics 2023-04-12 Carlo A. Trugenberger

Gravity can be regarded as a consequence of local Lorentz (LL) symmetry, which is essential in defining a spinor field in curved spacetime. The gravitational action may admit a zero-field limit of the metric and vierbein at a certain…

High Energy Physics - Theory · Physics 2020-12-23 Shinya Matsuzaki , Shota Miyawaki , Kin-ya Oda , Masatoshi Yamada

We propose a new theory of gravitation, in which the affine connection is the only dynamical variable describing the gravitational field. We construct the simplest dynamical Lagrangian density that is entirely composed from the connection,…

General Relativity and Quantum Cosmology · Physics 2013-12-17 Nikodem Poplawski

A variational formulation is given for a theory of gravity coupled to a massive vector in four dimensions, with Asymptotically Lifshitz boundary conditions on the fields. For theories with critical exponent z=2 we obtain a well-defined…

High Energy Physics - Theory · Physics 2011-11-08 Robert Mann , Robert McNees

The Lagrangian, multi-dimensional, ideal, compressible gasdynamic equations are written in a multi-symplectic form, in which the Lagrangian fluid labels, $m^i$ (the Lagrangian mass coordinates) and time $t$ are the independent variables,…

Mathematical Physics · Physics 2016-02-17 G. M. Webb , S. C. Anco

We formulate new boundary conditions that prove well defined variational principle and finite response functions for conformal gravity (CG). In the Anti--de Sitter/conformal field theory framework, gravity theory that is considered in the…

High Energy Physics - Theory · Physics 2016-12-30 I. Lovrekovic

The dynamics of a class of nonsymmetric gravitational theories is presented in Hamiltonian form. The derivation begins with the first-order action, treating the generalized connection coefficients as the canonical coordinates and the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 M. A. Clayton

Based on the works of Gordon ([4]) and Zhang-Zhou([8])) on the variational minimizing properties for Keplerian orbits and Lagrangian solutions of Newtonian 2-body and 3-body problems, we use the constrained variational principle of…

Mathematical Physics · Physics 2011-12-06 Ying Lv , Shiqing Zhang

A non-topological Lorentz gauge model of gravity with torsion based on Gauss-Bonnet type Lagrangian is considered. The Lagrangian differs from the Lovelock term in four-dimensional space-time and has a number of interesting features. We…

General Relativity and Quantum Cosmology · Physics 2008-03-06 H. Niu , D. G. Pak
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