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We study gravity coupled to scalar and fermion fields in the Einstein-Cartan framework. We discuss the most general form of the action that contains terms of mass dimension not bigger than four, leaving out only contributions quadratic in…

High Energy Physics - Theory · Physics 2021-08-17 Mikhail Shaposhnikov , Andrey Shkerin , Inar Timiryasov , Sebastian Zell

A starting point for the present work was the statement recently discussed in the literature that two Hamiltonian formulations for the theory of gravity, the one proposed by Dirac and the other by Arnowitt - Deser - Misner, may not be…

General Relativity and Quantum Cosmology · Physics 2011-03-07 T. P. Shestakova

We study the nonlinear dynamics of binary black hole systems with scalar charge by numerically evolving the full equations of motion for shift-symmetric Einstein scalar Gauss-Bonnet gravity. We consider quasi-circular binaries with…

General Relativity and Quantum Cosmology · Physics 2023-01-25 Maxence Corman , Justin L. Ripley , William E. East

In brane world scenarios with a bulk scalar field between two branes it is known that 4-dimensional Einstein gravity is restored at low energies on either brane. By using a gauge-invariant gravitational and scalar perturbation formalism we…

High Energy Physics - Theory · Physics 2009-11-07 Shinji Mukohyama

We argue that in a nonlinear gravity theory, which according to well-known results is dynamically equivalent to a self-gravitating scalar field in General Relativity, the true physical variables are exactly those which describe the…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Guido Magnano , Leszek M. Sokolowski

The $(2k)$-th Gauss-Bonnet curvature is a generalization to higher dimensions of the $(2k)$-dimensional Gauss-Bonnet integrand, it coincides with the usual scalar curvature for $k=1$. The Gauss-Bonnet curvatures are used in theoretical…

Differential Geometry · Mathematics 2008-12-19 Mohammed Larbi Labbi

Starting from the coupling of a relativistic quantum particle to the curved Schwarzschild space-time, we show that the Dirac--Schwarzschild problem has bound states and calculate their energies including relativistic corrections.…

General Relativity and Quantum Cosmology · Physics 2014-08-21 U. D. Jentschura

After a study of the Hamiltonian group of gauge transformations of canonical tetrad gravity on globally hyperbolic, asymptotically flat at spatial infinity, spacetimes with Cauchy hypersurfaces $\Sigma_{\tau}$ diffeomorphic to $R^3, we find…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Luca Lusanna , Stefano Russo

C-theory provides a unified framework to study metric, metric-affine and more general theories of gravity. In the vacuum weak-field limit of these theories, the parameterized post-Newtonian (PPN) parameters $\beta$ and $\gamma$ can differ…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Tomi S. Koivisto

A summary is given of some results and perspectives of the hamiltonian ADM approach to 2+1 dimensional gravity. After recalling the classical results for closed universes in absence of matter we go over the the case in which matter is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Pietro Menotti

We study the possible cosmological models in Kaluza-Klein-type multidimensional gravity with a curvature-nonlinear Lagrangian and a spherical extra space, taking into account the Casimir energy. First, we find a minimum of the effective…

General Relativity and Quantum Cosmology · Physics 2017-09-19 S. V. Bolokhov , K. A. Bronnikov

The theory of quantum gravity, in which tetrads emerge as the bilinear combinations of the fermionic field, suggests that in general relativity the interval $ds$ is dimensionless. Several other approaches to quantum gravity, including the…

Other Condensed Matter · Physics 2023-05-02 G. E. Volovik

We demonstrate that it is possible to test models of gravity, such as Palatini $f(R)$ and Eddington-inspired Born-Infeld models, using seismic data from Earth. By incorporating additional limitations on Earth's moment of inertia and mass…

General Relativity and Quantum Cosmology · Physics 2023-08-25 Aleksander Kozak , Aneta Wojnar

First, we describe the construction of a new type of gravity-matter models based on the formalism of non-Riemannian space-time volume forms - alternative generally covariant integration measure densities (volume elements) defined in terms…

General Relativity and Quantum Cosmology · Physics 2017-12-29 Eduardo Guendelman , Emil Nissimov , Svetlana Pacheva

Inspiralling compact binaries are ideally suited for application of a high-order post-Newtonian (PN) gravitational wave generation formalism. To be observed by the LIGO and VIRGO detectors, these very relativistic systems (with orbital…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Luc Blanchet

The Newtonian limit of the most general fourth order gravity is performed with metric approach in the Jordan frame with no gauge condition. The most general theory with fourth order differential equations is obtained by generalizing the…

General Relativity and Quantum Cosmology · Physics 2010-12-28 A. Stabile

Between Snyder's quantized space-time model in de Sitter space of momenta and the \dS special relativity on \dS-spacetime of radius $R$ with Beltrami coordinates, there is a one-to-one dual correspondence supported by a minimum…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Han-Ying Guo , Chao-Guang Huang , Yu Tian , Hong-Tu Wu , Zhan Xu , Bin Zhou

We explore models with emergent gravity and metric by means of numerical simulations. A particular type of two-dimensional non-linear sigma-model is regularized and discretized on a quadratic lattice. It is characterized by lattice…

High Energy Physics - Theory · Physics 2015-06-11 D. Sexty , C. Wetterich

In the Chern-Simons formulation of Einstein gravity in 2+1 dimensions the phase space of gravity is the moduli space of flat G-connections, where G is a typically non-compact Lie group which depends on the signature of space-time and the…

Quantum Algebra · Mathematics 2007-05-23 Bernd J Schroers

A new, field-theory-based framework for discussing and interpreting tests of gravity, notably at the second post-Newtonian (2PN) level, is introduced. Contrary to previous frameworks which attempted at parametrizing any conceivable…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Thibault Damour , Gilles Esposito-Farese