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In engineering practice one often encounters planar problems, where the corresponding vector space of forces, velocities or (infinitesimal) displacements is three dimensional. This paper shows how these spaces can be factorized, such that…

Classical Physics · Physics 2019-09-19 Tamás Baranyai

We present higher-derivative gravities that propagate an arbitrary number of gravitons of different mass on (A)dS backgrounds. These theories have multiple critical points, at which the masses degenerate and the graviton energies are…

High Energy Physics - Theory · Physics 2012-06-20 Teake Nutma

We construct, at the linearized level, the three-dimensional (3D) N = 4 supersymmetric "general massive supergravity" and the maximally supersymmetric N = 8 "new massive supergravity". We also construct the maximally supersymmetric…

High Energy Physics - Theory · Physics 2011-03-28 Eric A. Bergshoeff , Olaf Hohm , Jan Rosseel , Paul K. Townsend

We introduce an ingenious approach to explore cosmological implications of higher-derivative gravity theories. The key novelty lies in the characterization of the additional massive spin-0 modes constructed from Hubble derivatives as an…

General Relativity and Quantum Cosmology · Physics 2025-12-16 H. Khodabakhshi , M. Farhang , F. Shojai , H. Lü

We propose and study a new action for three-dimensional massive gravity. This action takes a very simple form when written in terms of connection and triad variables, but the connection can also be integrated out to obtain a triad…

High Energy Physics - Theory · Physics 2019-04-18 Marc Geiller , Karim Noui

A new vector-tensor model of classical gravity, which contains coupling between the field strength of the vector field and the curvature tensors in six dimensions, is proposed. Cosmological solutions of the scale factors in this model with…

General Relativity and Quantum Cosmology · Physics 2014-12-16 Katsuhiko Yoshida , Kiyoshi Shiraishi

Partially massless theory in three dimensions is revisited and its relationship with the self-dual massive gravity is considered. The only mode of the partially massless theory is shown explicitly through an action for a scalar field on…

High Energy Physics - Theory · Physics 2022-05-04 Daniel Galviz , Adel Khoudeir

We obtain a new 3D gravity model from two copies of parity-odd Einstein-Cartan theories. Using Hamiltonian analysis, we demonstrate that the only local degrees of freedom are two massive spin-2 modes. Unitarity of the model in anti-de…

High Energy Physics - Theory · Physics 2019-07-19 Mehmet Ozkan , Yi Pang , Utku Zorba

We describe a new first-order formulation of D=11 supergravity which shows that that theory can be understood to arise from a certain topological field theory by the imposition of a set of local constraints on the fields, plus a lagrange…

High Energy Physics - Theory · Physics 2016-09-06 Yi Ling , Lee Smolin

We give a critical overview of various attempts to describe gravity as an emergent phenomenon, starting from examples of condensed matter physics, to arrive to more sophisticated pregeometric models. The common line of thought is to view…

General Relativity and Quantum Cosmology · Physics 2012-05-15 Lorenzo Sindoni

We present a new mass generation mechanism for linearized gravity in three spacetime dimensions, which consists of a lower-dimensional Chern-Simons-like term added to the invariant action. The propagators of the gauge fixed massive action…

High Energy Physics - Theory · Physics 2025-08-20 Erica Bertolini , Edoardo Lui , Nicola Maggiore

A theory of higher-derivative 2D dilaton gravity which has its roots in the massive higher-spin mode dynamics of string theory is suggested. The divergences of the effective action to one-loop are calculated, both in the covariant and in…

High Energy Physics - Theory · Physics 2009-09-17 E. Elizalde , S. Naftulin , S. D. Odintsov

In order to explore some general features of modified theories of gravity which involve higher derivatives and spontaneous Lorentz and/or diffeomorphism symmetry breaking, we study the recently proposed new version of covariant…

General Relativity and Quantum Cosmology · Physics 2013-04-16 Masud Chaichian , Josef Klusoň , Markku Oksanen , Anca Tureanu

We perform a non-perturbative sum over geometries in a (2+1)-dimensional quantum gravity model given in terms of Causal Dynamical Triangulations. Inspired by the concept of triangulations of product type introduced previously, we impose an…

High Energy Physics - Theory · Physics 2008-11-26 D. Benedetti , R. Loll , F. Zamponi

We perform a covariant constraint analysis of massive gravity valid for its entire parameter space, demonstrating that the model generically propagates five degrees of freedom; this is also verified by a new and streamlined Hamiltonian…

High Energy Physics - Theory · Physics 2014-12-03 S. Deser , M. Sandora , A. Waldron , G. Zahariade

Pure massive gravity is strongly coupled at a certain low scale, known as Lambda_3. I show that the theory can be embedded into another one, with new light degrees of freedom, to increase the strong scale to a significantly larger value.…

High Energy Physics - Theory · Physics 2017-10-11 Gregory Gabadadze

We derive the field equations for topologically massive gravity coupled with the most general quadratic curvature terms using the language of exterior differential forms and a first order constrained variational principle. We find…

General Relativity and Quantum Cosmology · Physics 2016-09-28 T. Dereli , C. Yetismisoglu

It is argued that quantum gravity has an interpretation as a topological field theory provided a certain constraint from the path intergral measure is respected. The constraint forces us to couple gauge and matter fields to gravity for…

High Energy Physics - Theory · Physics 2009-10-30 Andrew Toon

A model of simplicial quantum gravity in three dimensions(3D) was investigated numerically based on the technique of dynamical triangulation (DT). We are concerned with the genus of surfaces appearing on boundaries (i.e., sections) of a 3D…

High Energy Physics - Lattice · Physics 2009-10-30 H. S. Egawa , N. Tsuda

Continuum and discrete approaches to 2d gravity coupled to $c<1$ matter are reviewed.

High Energy Physics - Theory · Physics 2008-02-06 Emil Martinec