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We present a general model of interacting metric fields with the sum of massless non-interacting spin 2 fields as the linear limit. In the non-interacting limit the model is reduced to a sum of general relativity actions, with the usual…

General Relativity and Quantum Cosmology · Physics 2016-05-03 Idan Talshir

In this work we investigate the existence of relativistic models for dark matter in the context of bimetric gravity, used here to reproduce the modified Newtonian dynamics (MOND) at galactic scales. For this purpose we consider two…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Luc Blanchet , Lavinia Heisenberg

Motivated by a version of the ``Dipolar Dark Matter'' model, that aims at a relativistic completion of the phenomenology of MOND, we investigate the gravitational polarization mechanism in the canonical bimetric theory with an effective…

General Relativity and Quantum Cosmology · Physics 2023-06-13 Luc Blanchet , Lavinia Heisenberg , François Larrouturou

The non-relativistic effective theory of dark matter-nucleon interactions depends on 28 coupling strengths for dark matter spin up to 1/2. Due to the vast parameter space of the effective theory, most experiments searching for dark matter…

High Energy Physics - Phenomenology · Physics 2022-06-29 Anja Brenner , Gonzalo Herrera , Alejandro Ibarra , Sunghyun Kang , Stefano Scopel , Gaurav Tomar

This paper is dedicated to scrutinizing the cosmology in massive gravity. A matter field of the dark sector is coupled to an effective composite metric while a standard matter field couples to the dynamical metric in the usual way. For this…

General Relativity and Quantum Cosmology · Physics 2016-09-21 Lavinia Heisenberg , Alexandre Refregier

Massive gravity theories have been developed as viable IR modifications of gravity motivated by dark energy and the problem of the cosmological constant. On the other hand, modified gravity and modified dark matter theories were developed…

High Energy Physics - Theory · Physics 2015-12-23 Luc Blanchet , Lavinia Heisenberg

We present a unifying proof to derive the strong spatial mixing (SSM) property for the general 2-spin system from zero-free regions of its partition function. Our proof works for the multivariate partition function over all three complex…

Mathematical Physics · Physics 2025-02-11 Shuai Shao , Xiaowei Ye

In this paper we consider Quadratic Gravity as a low energy effective field theory of some unknown UV-complete theory of gravity. Using the spin-2 ghost pathology that occurs in Quadratic Gravity, we derive maximum value for the classical…

General Relativity and Quantum Cosmology · Physics 2021-04-08 Callum Hunter

This paper addresses the problem of consistent energy-based coupling of atomistic and continuum models of materials, limited to zero-temperature statics of simple crystals. It has been widely recognized that the most practical coupled…

Numerical Analysis · Mathematics 2011-08-09 Alexander V. Shapeev

We find unitary and local theories of higher curvature gravity in the vielbein formalism, known as the Poincar\'{e} gauge theory by utilizing the equivalence to the ghost-free massive bigravity. We especially focus on three and four…

High Energy Physics - Theory · Physics 2021-01-13 Katsuki Aoki

To build a self-consistent effective-one-body (EOB) theory, in which the Hamiltonian, radiation-reaction force and waveform for the "plus" and "cross" modes of the gravitational wave should be based on the same effective background…

General Relativity and Quantum Cosmology · Physics 2024-09-26 Jiliang Jing , Shuai Chen , Manman Sun , Xiaokai He , Mengjie Wang , Jieci Wang

Ghost-free massive gravity models generically have a strong coupling scale of $\Lambda_3 =(M_{\rm Pl} m^2)^{1/3}$. However, for one of these models - `minimal massive gravity' - it is not clear what this scale is in the subset of solutions…

High Energy Physics - Theory · Physics 2015-11-06 James Bonifacio , Johannes Noller

We consider the possibility of an interaction in the dark sector in the presence of massive neutrinos, and study the observational constraints on three different scenarios of massive neutrinos using the most recent CMB anisotropy data in…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-21 Suresh Kumar , Rafael C. Nunes

In this paper we construct energy based numerical methods free of ghost forces in three dimensional lattices arising in crystalline materials. The analysis hinges on establishing a connection of the coupled system to conforming finite…

Numerical Analysis · Mathematics 2012-12-03 Charalambos Makridakis , Dimitrios Mitsoudis , Phoebus Rosakis

We consider nonlinear effective actions for a spin-2 field, whose `decoupling' limit gives Fierz-Pauli action in D dimensional maximally symmetric spacetime. We find, especially, the effective action for a partially massless field can take…

High Energy Physics - Theory · Physics 2023-04-06 Nahomi Kan , Takuma Aoyama , Kiyoshi Shiraishi

We compute the one-loop quantum corrections to the interactions between the two metrics of the ghost-free massive bigravity. When considering gravitons running in the loops, we show how the structure of the interactions gets destabilized at…

High Energy Physics - Theory · Physics 2015-05-20 Lavinia Heisenberg

There is no indication so far on the spin of dark matter particles. We consider the possibility in this work that a spin-3/2 particle acts as dark matter. Employing the approach of effective field theory, we list all possible 4-fermion…

High Energy Physics - Phenomenology · Physics 2015-06-03 Ran Ding , Yi Liao

Coupled dark matter-dark energy scenarios are modeled via a dimensionless parameter $\xi$, which controls the strength of their interaction. While this coupling is commonly assumed to be constant, there is no underlying physical law or…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-16 Weiqiang Yang , Olga Mena , Supriya Pan , Eleonora Di Valentino

We reformulate Einstein's theory of gravity, isolating the conformal degree of freedom in a covariant way. This is done by introducing a physical metric defined in terms of an auxiliary metric and a scalar field appearing through its first…

Cosmology and Nongalactic Astrophysics · Physics 2013-12-02 Ali H. Chamseddine , Viatcheslav Mukhanov

We study an economical model of weakly-interacting massive particle dark matter (DM) which has spin 3/2 and interacts with the 125-GeV Higgs boson via effective scalar and pseudoscalar operators. We apply constraints on the model from the…

High Energy Physics - Phenomenology · Physics 2017-12-01 Chia-Feng Chang , Xiao-Gang He , Jusak Tandean