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A pedagogical description of a simple ungeometrical approach to General Relativity is given, which follows the pattern of well understood field theories, such as electrodynamics. This leads quickly to most of the important weak field…

Astrophysics · Physics 2007-05-23 Norbert Straumann

We consider the standard gauge theory of Poincar\'{e} group, realizing as a subgroup of $GL(5. R)$. The main problem of this theory was appearing of the fields connected with non-Lorentz symmetries, whose physical sense was unclear. In this…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Merab Gogberashvili

Spin-2, spin-1 and spin-0 modes in linearised teleparallelism are obtained where the totally skew-symmetric complex contortion tensor generates scalar torsion waves and the symmetric contortion in the last two indices generates…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. C. Garcia de Andrade

A phase of massive gravity free from pathologies can be obtained by coupling the metric to an additional spin-two field. We study the gravitational field produced by a static spherically symmetric body, by finding the exact solution that…

High Energy Physics - Theory · Physics 2009-12-15 Z. Berezhiani , D. Comelli , F. Nesti , L. Pilo

According to general relativity, the interaction of a matter field with gravitation requires the simultaneous introduction of a tetrad field, which is a field related to translations, and a spin connection, which is a field assuming values…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Calcada , J. G. Pereira

We study the possibility for a unitary theory of partially-massless (PM) spin-two field interacting with Gravity in arbitrary dimensions. We show that the gauge and parity invariant interaction of PM spin two particles requires the…

High Energy Physics - Theory · Physics 2019-09-04 Euihun Joung , Karapet Mkrtchyan , Gabriel Poghosyan

The Fierz-Pauli (FP) free field theory for massive spin 2 particles can be extended, in a spacetime of (1+2) dimensions (3D), to a generally covariant parity-preserving interacting field theory, in at least two ways. One is "new massive…

High Energy Physics - Theory · Physics 2014-11-20 Eric Bergshoeff , Olaf Hohm , Paul Townsend

This work generalizes the treatment of flat spin connections in the teleparallel equivalent of general relativity. It is shown that a general flat spin connection form a subspace in the affine space of spin connections which is dynamically…

General Relativity and Quantum Cosmology · Physics 2017-11-07 A. Zubiaga

We have recently undergone an analysis of gravitational theories as defined in first order formalism, where the metric and the connection are treated as independent fields. The physical meaning of the connection field has historically been…

High Energy Physics - Theory · Physics 2018-10-17 Enrique Alvarez , Jesus Anero , Sergio Gonzalez-Martin , Raquel Santos-Garcia

Teleparallel gravity and its popular generalization $f(T)$ gravity can be formulated as fully invariant (under both coordinate transformations and local Lorentz transformations) theories of gravity. Several misconceptions about teleparallel…

General Relativity and Quantum Cosmology · Physics 2019-09-25 M. Krssak , R. J. van den Hoogen , J. G. Pereira , C. G. Boehmer , A. A. Coley

A light scalar degree of freedom, as the one possibly responsible for the accelerated expansion of the Universe, could leave observable traces in the inspiral gravitational wave signal of binary systems. In order to study these effects, we…

General Relativity and Quantum Cosmology · Physics 2019-06-26 Adrien Kuntz , Federico Piazza , Filippo Vernizzi

Conformal symmetries appear in many parts of physics and play a unique role in exploring the Universe. In this work, we consider the possibility of constructing conformal theories of gravity in the Symmetric Teleparallel Gravity framework,…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Viktor Gakis , Martin Krššák , Jackson Levi Said , Emmanuel N. Saridakis

A hyperunified field theory is built in detail based on the postulates of gauge invariance and coordinate independence along with the conformal scaling symmetry. All elementary particles are merged into a single hyper-spinor field and all…

High Energy Physics - Theory · Physics 2018-02-14 Yue-Liang Wu

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

In this paper, we discuss a gravitational theory based on the generalized gauge field. Our Lagrangian is invariant not only under local Lorentz transformation and the ordinary gauge transformation but also under a new gauge transformation.…

High Energy Physics - Theory · Physics 2012-07-03 Kouzou Nishida

A unified description of all interactions could be based on a higher-dimensional theory involving only spinor fields. The metric arises as a composite object and the gravitational field equations contain torsion-corrections as compared to…

High Energy Physics - Theory · Physics 2009-02-20 A. Hebecker , C. Wetterich

We report a no-go theorem excluding consistent cross-couplings for a collection of massless, spin-2 fields described, in the free limit, by the sum of Pauli-Fierz actions (one for each field). We show that, in spacetime dimensions >2, there…

High Energy Physics - Theory · Physics 2007-05-23 Nicolas Boulanger , Thibault Damour , Leonardo Gualtieri , Marc Henneaux

Consistency conditions for the local existence of massless spin 3/2 fields has been explored that the field equations for massless helicity 3/2 are consistent iff the space-time is Ricci-flat and that in Minkowski space-time the space of…

High Energy Physics - Theory · Physics 2009-11-07 Mitsuo J. Hayashi

We consider effective theories with massive fields that have spins larger than or equal to two. We conjecture a universal cutoff scale on any such theory that depends on the lightest mass of such fields. This cutoff corresponds to the mass…

High Energy Physics - Theory · Physics 2020-01-08 Daniel Klaewer , Dieter Lust , Eran Palti

We formulate $R^2$ pure supergravity as a scale invariant theory built only in terms of superfields describing the geometry of curved superspace. The standard supergravity duals are obtained in both "old" and "new" minimal formulations of…

High Energy Physics - Theory · Physics 2015-06-05 Sergio Ferrara , Alex Kehagias , Massimo Porrati