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Related papers: Non-linearly ghost-free higher curvature gravity

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We consider the Born-Infeld type extension of (non-)critical gravity which is higher curvature gravity on Anti de-Sitter space with specific combinations of scalar curvature and Ricci tensor. This theory may also be viewed as a natural…

High Energy Physics - Theory · Physics 2012-10-23 Sang-Heon Yi

We show that the strong self-interaction of the scalar polarization of a massive graviton can be understood in terms of the propagation of an extra ghost-like degree of freedom, thus relating strong coupling to the sixth degree of freedom…

General Relativity and Quantum Cosmology · Physics 2009-10-07 Cedric Deffayet , Jan-Willem Rombouts

We study four-dimensional gravity theories that are rendered renormalisable by the inclusion of curvature-squared terms to the usual Einstein action with cosmological constant. By choosing the parameters appropriately, the massive scalar…

High Energy Physics - Theory · Physics 2011-05-23 H. Lu , C. N. Pope

We disprove the widespread belief that higher order curvature theories of gravity in the metric-affine formalism are generally ghost-free. This is clarified by considering a sub-class of theories constructed only with the Ricci tensor and…

General Relativity and Quantum Cosmology · Physics 2019-08-21 Jose Beltrán Jiménez , Adria Delhom

An extension of the bimetric theory of gravity is considered that includes quadratic Ricci curvature terms associated with each metric. The issue of the Boulware-Deser ghost is analyzed. The Hamiltonian constraint is derived and the…

General Relativity and Quantum Cosmology · Physics 2025-01-23 Ioannis D. Gialamas , Kyriakos Tamvakis

The theory of gravity with an auxiliary extra dimension is known to give the ghost-free cubic completion of the Fierz-Pauli mass term in the decoupling limit. Our work generalizes the boundary condition in the auxiliary dimension that…

High Energy Physics - Theory · Physics 2011-07-20 Lasha Berezhiani , Mehrdad Mirbabayi

We consider Higgs massive gravity [1,2] and investigate whether a nonlinear ghost in this theory can be avoided. We show that although the theory considered in [10,11] is ghost free in the decoupling limit, the ghost nevertheless reappears…

High Energy Physics - Theory · Physics 2011-04-11 Lasma Alberte , Ali H. Chamseddine , Viatcheslav Mukhanov

Theories with infinite volume extra dimensions open exciting opportunities for particle physics. We argued recently that along with attractive features there are phenomenological difficulties in this class of models. In fact, there is no…

High Energy Physics - Theory · Physics 2009-10-31 G. Dvali , G. Gabadadze , M. Porrati

In this paper we study the most general covariant action of gravity up to terms that are quadratic in curvature. In particular this includes non-local, infinite derivative theories of gravity which are ghost-free and exhibit asymptotic…

High Energy Physics - Theory · Physics 2015-06-16 Tirthabir Biswas , Aindriú Conroy , Alexey S. Koshelev , Anupam Mazumdar

We present a theory of ghost-free massive gravity where the mass of the graviton is generated through the Brout-Englert-Higgs (BEH) mechanism and one of the four scalar fields used is that of mimetic gravity. The mass term is not of the…

High Energy Physics - Theory · Physics 2018-06-26 Ali H. Chamseddine , Viatcheslav Mukhanov

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

In the gauge theory of gravity based on the Poincare group (the semidirect product of the Lorentz group and the spacetime translations) the mass (energy-momentum) and the spin are treated on an equal footing as the sources of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yuri N. Obukhov

We present the manifestly covariant quantization of quadratic gravity or higher-derivative gravity in the de Donder gauge condition (or harmonic gauge condition) for general coordinate invariance on the basis of the BRST transformation. We…

High Energy Physics - Theory · Physics 2025-05-15 Ichiro Oda

Generically, non-linear bimetric theories of gravity suffer from the same Boulware-Deser ghost instability as non-linear theories of massive gravity. However, recently proposed theories of massive gravity have been shown to be ghost-free.…

High Energy Physics - Theory · Physics 2015-05-30 S. F. Hassan , Rachel A. Rosen

The "Auxiliary Extra Dimension" model was proposed in order to provide a geometrical interpretation to modifications of general relativity, in particular to non-linear massive gravity. In this context, the theory was shown to be ghost free…

High Energy Physics - Theory · Physics 2011-07-26 S. F. Hassan , Rachel A. Rosen

The Einstein-Hilbert action in three dimensions and the transformation rules for the dreibein and spin connection can be naturally described in terms of gauge theory. In this spirit, we use covariant coordinates in noncommutative gauge…

In this work we study the partially constrained vielbein formulation of the new quasidilaton theory of massive gravity which couples to both physical and fiducial metrics simultaneously via a composite effective metric. This formalism…

High Energy Physics - Theory · Physics 2016-06-01 Antonio De Felice , A. Emir Gümrükçüoğlu , Lavinia Heisenberg , Shinji Mukohyama , Norihiro Tanahashi

We study structure of solutions of the recently constructed minimal extensions of Einstein's gravity in four dimensions at the quartic curvature level. The extended higher derivative theory, just like Einstein's gravity, has only a massless…

High Energy Physics - Theory · Physics 2016-04-25 Atalay Karasu , Esin Kenar , Bayram Tekin

We consider a consistent linear effective vielbein matter coupling without introducing the Boulware-Deser ghost in ghost-free massive gravity. This is achieved in the partially constrained vielbein formulation. We first introduce the…

High Energy Physics - Theory · Physics 2016-01-13 Antonio De Felice , A. Emir Gümrükçüoğlu , Lavinia Heisenberg , Shinji Mukohyama

We construct a quadratic curvature theory of gravity whose graviton propagator around the Minkowski background respects wordline inversion symmetry, the particle approximation to modular invariance in string theory. This symmetry…

High Energy Physics - Theory · Physics 2020-01-29 Steven Abel , Luca Buoninfante , Anupam Mazumdar