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A gravitational theory with derivative matter coupling is proposed which adopt de Sitter expansion at late times with ordinary baryonic matter. Matter components are conserved separately in the cosmological background and the Newtonian…

General Relativity and Quantum Cosmology · Physics 2021-04-19 Zahra Haghani , Shahab Shahidi

We study Bianchi cosmologies in the ghost-free bigravity theory assuming both metrics to be homogeneous and anisotropic, of the Bianchi class A, which includes types I,II,VI$_0$,VII$_0$,VIII, and IX. We assume the universe to contain a…

High Energy Physics - Theory · Physics 2013-11-08 Kei-ichi Maeda , Mikhail S. Volkov

It is shown that polynomial gravity theories with more than four derivatives in each scalar and tensor sectors have a regular weak-field limit, without curvature singularities. This is achieved by proving that in these models the effect of…

General Relativity and Quantum Cosmology · Physics 2019-07-09 Breno L. Giacchini , Tibério de Paula Netto

We present a thorough stability analysis of modified gravity theories in the presence of matter fields. We use the Effective Field Theory framework for Dark Energy and Modified Gravity to retain a general approach for the gravity sector and…

General Relativity and Quantum Cosmology · Physics 2017-03-14 Antonio De Felice , Noemi Frusciante , Georgios Papadomanolakis

We constructed the ghost-free condition for nonlocal gravity using de-Sitter background field expansion and identified the structure of the nontrivial form factors. Our analysis shows that the particle spectrum of this model is nearly…

General Relativity and Quantum Cosmology · Physics 2026-01-14 Haiyuan Feng , Rong-Jia Yang

In order to explore some general features of modified theories of gravity which involve higher derivatives and spontaneous Lorentz and/or diffeomorphism symmetry breaking, we study the recently proposed new version of covariant…

General Relativity and Quantum Cosmology · Physics 2013-04-16 Masud Chaichian , Josef Klusoň , Markku Oksanen , Anca Tureanu

The inclusion of higher derivatives is a necessary condition for a renormalizable or superrenormalizable local theory of quantum gravity. On the other hand, higher derivatives lead to classical instabilities and a loss of unitarity at the…

High Energy Physics - Theory · Physics 2025-11-20 Manuel Asorey , Gastão Krein , Miguel Pardina , Ilya L. Shapiro

We construct a class of theories which extend New Massive Gravity to higher orders in curvature in any dimension. The lagrangians arise as limits of a new class of bimetric theories of Lovelock gravity, which are unitary theories free from…

High Energy Physics - Theory · Physics 2015-06-04 Miguel F. Paulos , Andrew J. Tolley

We analyze conformal gravity in translationally invariant approximation, where the metric is taken to depend on time but not on spatial coordinates. We find that the field mode which in perturbation theory has a ghostlike kinetic term,…

High Energy Physics - Theory · Physics 2014-05-14 Ibrahim B. Ilhan , Alex Kovner

The unphysical spin-2 massive degrees of freedom in higher derivative gravity may be either massive unphysical ghosts or tachyonic ghosts. In the last case there is no Planck-scale threshold protecting vacuum cosmological solutions from…

General Relativity and Quantum Cosmology · Physics 2016-02-24 Giulia Cusin , Filipe de O. Salles , Ilya L. Shapiro

Many theories of modified gravity with higher order derivatives are usually ignored because of serious problems that appear due to an additional ghost degree of freedom. Most dangerously, it causes an immediate decay of the vacuum. However,…

General Relativity and Quantum Cosmology · Physics 2016-11-30 Frank Könnig , Henrik Nersisyan , Yashar Akrami , Luca Amendola , Miguel Zumalacárregui

A novel theory of Quantum Gravity is presented in which the real gravitons manifest themselves as holes in space. In general, these holes propagate at the speed of light through an expanding universe with boundary denoted by U, which is…

General Physics · Physics 2015-08-26 Gregory W. Horndeski

We propose a theoretically consistent modification of gravity in the infrared, which is compatible with all current experimental observations. This is an analog of Higgs mechanism in general relativity, and can be thought of as arising from…

High Energy Physics - Theory · Physics 2009-11-10 Nima Arkani-Hamed , Hsin-Chia Cheng , Markus A. Luty , Shinji Mukohyama

An outline is given of a recently discovered technique for building a quantum effective action that is completely independent of gauge-fixing choices and ghost determinants. One makes maximum use of the geometry and fibre-bundle structure…

High Energy Physics - Theory · Physics 2009-10-31 Bryce DeWitt , Carmen Molina-Paris

In the first order formalism of gravitational theories, the spacetime connection is considered as an independent variable to vary together with the metric. However, the metric still generates its Levi-Civita connection that turns out to…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Tomi S. Koivisto , Nicola Tamanini

In this work we study a modified theory of gravity that contains up to fourth order spatial derivatives as a model for the Horava-Lifshitz gravity. The propagator is evaluated and, as a result, it is obtained one extra pole corresponding to…

High Energy Physics - Theory · Physics 2011-10-13 F. S. Bemfica , M. Gomes

Although General Relativity predicts the presence of a singularity inside of a Black Hole, it is not a complete theory of gravity. A real structure of a Black Hole interior near an expected singularity depends on the UV completion of…

High Energy Physics - Theory · Physics 2024-04-15 Alexey Koshelev , Anna Tokareva

We use Weyl connection and Weyl geometry in order to construct novel modified gravitational theories. In the simplest case where one uses only the Weyl-connection Ricci scalar as a Lagrangian, the theory recovers general relativity.…

General Relativity and Quantum Cosmology · Physics 2025-03-12 Gerasimos Kouniatalis , Emmanuel N. Saridakis

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

An emergence of cosmic space has been suggested by Padmanabhan in [arXiv:1206.4916]. This new interesting approach argues that the expansion of the universe is due to the difference between the number of degrees of freedom on a holographic…

High Energy Physics - Theory · Physics 2014-04-17 Ahmed Farag Ali
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