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We analyze the Hamiltonian structure of a general theory of bi-gravity where the interaction term is a scalar function of the form $ V(\mathcal{X}^{n}) $ where $ \mathcal{X} $ may be $\sqrt{g^{-1}f} $ or $ g^{-1}f $. We give necessary…

高能物理 - 理论 · 物理学 2019-10-18 Zahra Molaee , Ahmad Shirzad

In this work we studied the higher order gravity model which corresponds to Hassan-Rosen ghost-free bi-gravity. To do this we absorb one of the metrics in bi-gravity model in favor of the other metric in a recursive way. For the second…

广义相对论与量子宇宙学 · 物理学 2018-07-24 Nima Khosravi , Reza Rajaee

More than three decades ago quadratic gravity was found to present a perturbative, renormalizable and asymptotically free theory of quantum gravity. Unfortunately the theory appeared to have problems with a spin-2 ghost. In this essay we…

高能物理 - 理论 · 物理学 2016-11-15 Bob Holdom , Jing Ren

Working directly with a general Hamiltonian for the spacetime metric with the $3+1$ decomposition and keeping only the spatial covariance, we investigate the possibility of reducing the number of degrees of freedom by introducing an…

广义相对论与量子宇宙学 · 物理学 2021-01-20 Zhi-Bang Yao , Michele Oliosi , Xian Gao , Shinji Mukohyama

We identify different helicity degrees of freedom of Fierz-Paulian massive gravity around generic backgrounds. We show that the two-parameter family proposed by de Rham, Gabadadze, and Tolley always propagates five degrees of freedom and…

高能物理 - 理论 · 物理学 2015-06-03 Mehrdad Mirbabayi

We propose a new theory of massive gravity with only two propagating degrees of freedom. After defining the theory in the unitary gauge in the vielbein language, we shall perform a Hamiltonian analysis to count the number of physical…

高能物理 - 理论 · 物理学 2015-12-17 Antonio De Felice , Shinji Mukohyama

Recently modified gravitational theories which mimic the behaviour of dark matter, the so-called "Mimetic Dark Matter", have been proposed. We study the consistency of such theories with respect to the absence of ghost instability and…

高能物理 - 理论 · 物理学 2015-01-15 Masud Chaichian , Josef Kluson , Markku Oksanen , Anca Tureanu

Certain scalar fields with higher derivative interactions and novel classical and quantum mechanical properties - the Galileons - can be naturally covariantized by coupling to nonlinear massive gravity in such a way that their symmetries…

高能物理 - 理论 · 物理学 2013-12-17 Melinda Andrews , Kurt Hinterbichler , James Stokes , Mark Trodden

Quadratic gravity presents us with a renormalizable, asymptotically free theory of quantum gravity. When its couplings grow strong at some scale, as in QCD, then this strong scale sets the Planck mass. QCD has a gluon that does not appear…

高能物理 - 理论 · 物理学 2016-06-15 Bob Holdom , Jing Ren

Can we give the graviton a mass? Does it even make sense to speak of a massive graviton? In this essay I shall answer these questions in the affirmative. I shall outline an alternative to Einstein Gravity that satisfies the Equivalence…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Matt Visser

We study two dimensional dilaton gravity and supergravity following hamiltonian methods. Firstly, we consider the structure of constraints of 2D dilaton gravity and then the 2D dilaton supergravity is obtained taking the squere root of the…

广义相对论与量子宇宙学 · 物理学 2009-10-22 J. Gamboa , Y. Georgelin

Inspired by the $f(R)$ non-linear massive gravity, we propose a new kind of modified gravity model, namely $f(T)$ non-linear massive gravity, by adding the dRGT mass term reformulated in the vierbein formalism, to the $f(T)$ theory. We then…

广义相对论与量子宇宙学 · 物理学 2025-03-28 You Wu , Zu-Cheng Chen , Jiaxin Wang , Hao Wei

We perform the Hamiltonian constraint analysis for a wide class of gravity theories that are invariant under spatial diffeomorphism. With very general setup, we show that different from the general relativity, the primary and secondary…

广义相对论与量子宇宙学 · 物理学 2014-11-26 Xian Gao

We show that general infrared modifications of the Einstein-Hilbert action obtained by addition of curvature invariants are not viable. These modifications contain either ghosts or light gravity scalars. A very specific fine-tuning might…

高能物理 - 理论 · 物理学 2007-05-23 Alvaro Nunez , Slava Solganik

We use conformal, but ghostful, Weyl gravity to study its ghost-free, second derivative, partially massless (PM) spin 2 component in presence of Einstein gravity with positive cosmological constant. Specifically, we consider both…

高能物理 - 理论 · 物理学 2015-06-11 S. Deser , E. Joung , A. Waldron

In this work we present a systematic construction of the potentially ghost-free non-linear massive gravity actions. The most general action can be regarded as a 2-parameter deformation of a minimal massive action. Further extensions vanish…

高能物理 - 理论 · 物理学 2015-05-27 S. F. Hassan , Rachel A. Rosen

We provide the geometric actions for most general N=1 supergravity in two spacetime dimensions. Our construction implies an extension to arbitrary N. This provides a supersymmetrization of any generalized dilaton gravity theory or of any…

高能物理 - 理论 · 物理学 2010-02-03 M. Ertl , W. Kummer , T. Strobl

Infinite derivative theory of gravity is a modification to the general theory of relativity. Such modification maintains the massless graviton as the only true physical degree of freedom and avoids ghosts. Moreover, this class of modified…

广义相对论与量子宇宙学 · 物理学 2018-11-27 Ali Teimouri

We study the physical propagating modes in a massive gravity model in curved cosmological backgrounds, which we have found as classical solutions in our previous paper. We show that, generically, there exist such the cosmological background…

高能物理 - 理论 · 物理学 2009-02-09 Masahiro Maeno , Ichiro Oda

Ghost inflation is a well-known framework in which cosmological fluctuations can generate enhanced primordial non-Gaussianity, typically of the equilateral type. In its original form, however, it is in tension with current observational…

高能物理 - 理论 · 物理学 2026-01-22 Matheus Curado Ferreira , F. T. Falciano , Guilherme L. Pimentel