Ghost free massive gravity in the Stückelberg language
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In this paper, it was shown that the vanishing of the determinant of a Hessian guarantees the absence of the Boulware-Deser ghost in the Stuckelberg language beyond the decoupling limit.About:
This article is published in Physics Letters B.The article was published on 2012-05-03 and is currently open access. It has received 351 citations till now. The article focuses on the topics: Massive gravity & Bimetric gravity.read more
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Theoretical Aspects of Massive Gravity
TL;DR: Recently, the possibility of a massive graviton has seen a resurgence of interest due to recent progress which has overcome its traditional problems, yielding an avenue for addressing important open questions such as the cosmological constant naturalness problem as mentioned in this paper.
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Massive Gravity
TL;DR: In this paper, a review of recent progress in massive gravity is presented, showing how different theories of massive gravity emerge from a higher-dimensional theory of general relativity, leading to the Dvali-Gabadadze-Porrati model, cascading gravity and ghost-free massive gravity.
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Beyond the cosmological standard model
TL;DR: A review of the state of the art in the field of modified gravity can be found in this article, where the authors identify the guiding principles for rigorous and consistent modifications of the standard model, and discuss the prospects for empirical tests.
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Bimetric gravity from ghost-free massive gravity
S. F. Hassan,Rachel A. Rosen +1 more
TL;DR: In this paper, a non-linear bimetric theory of a massless spin-2 field interacting with a massive spin2 field was constructed, which is free of the Boulware-Deser ghost.
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Beyond the Cosmological Standard Model
TL;DR: A review of the current state of the field and a framework for anticipating developments in the next decade can be found in this paper, where the authors identify the guiding principles for rigorous and consistent modifications of the standard model, and discuss the prospects for empirical tests.
References
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Book
Quantization of Gauge Systems
Marc Henneaux,Claudio Teitelboim +1 more
TL;DR: In this paper, a systematic study of the classical and quantum theories of gauge systems is presented, starting with Dirac's analysis showing that gauge theories are constrained Hamiltonian systems, and the classical foundations of BRST theory are laid out with a review of the necessary concepts from homological algebra.
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On relativistic wave equations for particles of arbitrary spin in an electromagnetic field
Markus Fierz,Wolfgang Pauli +1 more
TL;DR: In this article, it was shown that the most immediate method of taking into account the effect of the electromagnetic field, proposed by Dirac (1936), leads to inconsistent equations as soon as the spin is greater than 1.
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Resummation of Massive Gravity
TL;DR: Four-dimensional covariant nonlinear theories of massive gravity are constructed which are ghost-free in the decoupling limit to all orders, and the Hamiltonian constraint is maintained at least up to and including quartic order in nonlinearities, hence excluding the possibility of the Boulware-Deser ghost up to this order.
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To the problem of nonvanishing gravitation mass
TL;DR: In this paper, the zero-mass limit in the massive gravitational field theory is considered in the framework of classical equations, and the continoous in mass solution is constructed for the case of central symmetric field by contrast with the perturbation theory one.
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Generalization of the Fierz-Pauli action
TL;DR: In this article, the authors consider the Lagrangian of gravity covariantly amended by the mass and polynomial interaction terms with arbitrary coefficients and investigate the consistency of such a theory in the decoupling limit, up to the fifth order in the nonlinearities.