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30-component, of the first order, equation for a spin 2 particle, equivalent to the second order Pauli-Fierz one, is generalized to presence of an external electromagnetic field as well as a curved background space-time geometry. The…

High Energy Physics - Theory · Physics 2011-09-15 A. A. Bogush , V. V. Kisel , N. G. Tokarevskaya , V. M. Red'kov

In the last few years we have seen an increase interest on gravitational waves due to recent and striking experimental results confirming Einstein's general relativity once more. From the field theory point of view, gravity describes the…

High Energy Physics - Theory · Physics 2019-02-06 H. G. M. Fortes , D. Dalmazi

Recent astrophysical data indicate that our universe might currently be in a de Sitter (dS) phase. The importance of dS space has been primarily ignited by the study of the inflationary model of the universe and the quantum gravity. As we…

General Physics · Physics 2013-01-15 Mohsen Fathi

Inspired by the translational gauge structure of teleparallel gravity, the theory for a fundamental massless spin-2 field is constructed. Accordingly, instead of being represented by a symmetric second-rank tensor, the fundamental spin-2…

General Relativity and Quantum Cosmology · Physics 2013-02-28 H. I. Arcos , Tiago Gribl Lucas , J. G. Pereira

Equations for 16-component vector-bispinor field, originated from Rarita-Schwinger Lagrangian for spin 3/2 field extended to Riemannian space-time are investigated. Additional general covariant constrains for the field are produced, which…

Mathematical Physics · Physics 2011-09-20 V. M. Red'kov

We give a solution of the wave equation for massless, or massive spin-2 particles propagating in a gravitational background. The solution is covariant, gauge-invariant and exact to first order in the background gravitational field. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. Papini

The asymptotic structure of the Pauli-Fierz theory at spatial infinity is investigated in four spacetime dimensions. Boundary conditions on the massless spin-$2$ field that are invariant under an infinite-dimensional group of non-trivial…

High Energy Physics - Theory · Physics 2020-12-02 Oscar Fuentealba , Marc Henneaux , Sucheta Majumdar , Javier Matulich , Cédric Troessaert

We present a new formulation to deal with the consistency problem of a massive spin-2 field in a curved spacetime. Using Fierz variables to represent the spin-2 field, we show how to avoid the arbitrariness and inconsistency that exists in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Novello , R. P. Neves

We investigate generally covariant theories which admit a Fierz-Pauli mass term for metric perturbations around an arbitrary curved background. For this we restore the general covariance of the Fierz-Pauli mass term by introducing four…

High Energy Physics - Theory · Physics 2012-07-02 Lasma Alberte

The non linear aspects of a recently proposed model of massive spin-2 particles with propagating torsion are studied. We obtain a nonlinear equation which reduces at linear order to a generalized Fierz-Pauli equation in any background…

High Energy Physics - Theory · Physics 2011-09-16 Cédric Deffayet , Seifallah Randjbar-Daemi

A Schroedinger equation proposed for the GMP gapped spin-2 mode of fractional Quantum Hall states is found from a novel non-relativistic limit, applicable only in 2+1 dimensions, of the massive spin-2 Fierz-Pauli field equations. It is also…

High Energy Physics - Theory · Physics 2018-04-11 Eric A. Bergshoeff , Jan Rosseel , Paul K. Townsend

20-component Petras theory of 1/2-spin particle with anomalous magnetic momentum in presence of external electromagnetic and gravitational fields is investigated. The gravitation field is described as space-time curvature. Correctness of…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Bogush , V. V. Kisel , N. G. Tokarevskaya , V. M. Red'kov

Massive spin-2 particles has been a subject of great interest in current research. If the graviton has a small mass, the gravitational force at large distances decreases more rapidly, which could contribute to explain the accelerated…

High Energy Physics - Theory · Physics 2017-06-07 Denis Dalmazi , Hemily Gomes Marciano Fortes

A new approach to the description of spin-2 particle in flat and curved spacetime is developed on the basis of the teleparallel gravity theory. We show that such an approach is in fact a true and natural framework for the Fierz…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Yu. N. Obukhov , J. G. Pereira

In the framework of Einstein-scalar-Gauss-Bonnet (EsGB) gravity, we systematically study gravitational waves (GWs), first produced by remote compact astrophysical sources and then propagating through the flat homogeneous and isotropic…

General Relativity and Quantum Cosmology · Physics 2025-03-05 Jared Fier , Henry Han , Bowen Li , Kai Lin , Shinji Mukohyama , Anzhong Wang

In this work I show by a first principles calculation that quantum states describing massive relativistic free spinning particles obey kinematical conditions whose origin can be traced to parity as a good quantum number. These conditions…

High Energy Physics - Phenomenology · Physics 2022-12-05 Mauro Napsuciale

In this work consideration is given to massless and massive gauge-invariant spin 0 and spin 1 fields (particles) within the scope of a theory of the generalized relativistic wave equations with an extended set of the Lorentz group…

High Energy Physics - Theory · Physics 2010-02-04 V. A. Pletyukhov , V. I. Strazhev

We compute the first four heat-kernel coefficients required for the renormalization of Linearized Massive Gravity. We focus on the Fierz-Pauli theory in a curved spacetime, describing the propagation of a massive spin $2$ field in a…

High Energy Physics - Theory · Physics 2025-03-17 Leonardo Farolfi , Filippo Fecit

Recently, a bundle theoretic description of massive single-particle state spaces, which is better suited for Relativistic Quantum Information Theory than the ordinary Hilbert space description, has been suggested. However, the mathematical…

Mathematical Physics · Physics 2023-09-19 Heon Lee

We extend the notion of the Higuchi bound and partial masslessness to ghost-free nonlinear bimetric theories. This can be achieved in a simple way by first considering linear massive spin-2 perturbations around maximally symmetric…

High Energy Physics - Theory · Physics 2015-07-24 S. F. Hassan , Angnis Schmidt-May , Mikael von Strauss
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