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We consider a variant of the Nojiri-Odintsov covariant Horava-like gravitational model, where diffeomorphism invariance is broken dynamically via a non-standard coupling to a perfect fluid. The theory allows to address some of the potential…

General Relativity and Quantum Cosmology · Physics 2018-12-13 Guido Cognola , Ratbay Myrzakulov , Lorenzo Sebastiani , Sunny Vagnozzi , Sergio Zerbini

In this paper, we propose to use the mimetic Horndeski model as a model for the dark universe. Both cold dark matter (CDM) and dark energy (DE) phenomena are described by a single component, the mimetic field. In linear theory, we show that…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-21 Frederico Arroja , Teppei Okumura , Nicola Bartolo , Purnendu Karmakar , Sabino Matarrese

We investigate gravitational waves with an arbitrary potential within the framework of linearized Horndeski theory. We show that the minimum of the potential can play the role of an effective cosmological constant in this theory, which is…

General Relativity and Quantum Cosmology · Physics 2026-03-17 Hatice Özer , Özgür Delice

The recent observation of the the gravitational wave event GW170817 and of its electromagnetic counterpart GRB170817A, from a binary neutron star merger, has established that the speed of gravitational waves deviates from the speed of light…

General Relativity and Quantum Cosmology · Physics 2018-12-13 Alessandro Casalino , Massimiliano Rinaldi , Lorenzo Sebastiani , Sunny Vagnozzi

The fact that fast oscillating homogeneous scalar fields behave as perfect fluids in average and their intrinsic isotropy have made these models very fruitful in cosmology. In this work we will analyse the perturbations dynamics in these…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-23 J. A. R. Cembranos , A. L. Maroto , S. J. Núñez Jareño

The scalar-vector-tensor theories with second-order equations of motion can accommodate both Horndeski and generalized Proca theories as specific cases. In the presence of a perfect fluid, we study the cosmology in such a most general…

General Relativity and Quantum Cosmology · Physics 2018-11-20 Ryotaro Kase , Shinji Tsujikawa

We consider a general relativistic zero-pressure irrotational cosmological medium perturbed to the third order. We assume a flat Friedmann background but include the cosmological constant. We ignore the rotational perturbation which decays…

General Relativity and Quantum Cosmology · Physics 2009-11-10 J. Hwang , H. Noh

Asymptotically free mimetic gravity has been introduced as a proposal for a classical limiting curvature theory with the purpose of singularity resolution. It was found that in a spatially flat universe an initial stage of exponential…

General Relativity and Quantum Cosmology · Physics 2021-05-03 Tobias B. Russ

We study the cosmology of an extended version of Horndeski theories with second-order equations of motion on the flat Friedmann-Lema\^{i}tre-Robertson-Walker (FLRW) background. In addition to a dark energy field $\chi$ associated with the…

High Energy Physics - Theory · Physics 2014-09-01 Ryotaro Kase , Shinji Tsujikawa

The minimal theory of quasidilaton massive gravity with or without a Horndeski-type kinetic term for the quasidilaton field propagates only three physical modes: the two massive tensor polarizations and one scalar mode. This reduced number…

High Energy Physics - Theory · Physics 2019-03-06 Antonio De Felice , Shinji Mukohyama , Michele Oliosi

Rather than obtaining cosmic acceleration with a scalar field potential (quintessence) or noncanonical kinetic term (k-essence), we can do it purely through a modified gravity braiding of the scalar and metric, i.e. the $G_3$ Horndeski…

General Relativity and Quantum Cosmology · Physics 2021-12-24 Eric V. Linder

We study the superluminality issue in beyond Horndeski theory with additional scalar field, which is minimally coupled to gravity and has no second derivatives in the Lagrangian. We present the quadratic action for perturbations in…

High Energy Physics - Theory · Physics 2020-08-26 S. Mironov , V. Rubakov , V. Volkova

We summarize recent results concerning the evolution of second order perturbations in flat dust irrotational FLRW models with $\Lambda\ne 0$. We show that asymptotically these perturbations tend to constants in time, in agreement with the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Felipe C. Mena , Reza Tavakol , Marco Bruni

We discuss mimetic gravity theories with direct couplings between the curvature and higher derivatives of the scalar field, up to the quintic order, which were proposed to solve the instability problem for linear perturbations around the…

General Relativity and Quantum Cosmology · Physics 2019-12-18 Alexander Ganz , Nicola Bartolo , Sabino Matarrese

Relativistic cosmological perturbation analyses can be made based on several different fundamental gauge conditions. In the pressureless limit the variables in certain gauge conditions show the correct Newtonian behaviors. Considering the…

Astrophysics · Physics 2015-06-24 J. Hwang , H. Noh

We find stable singularity-free cosmological solutions in non-flat Friedmann-Lema\^{i}tre-Robertson-Walker (FLRW) spacetime in the context of Ho\v{r}ava-Lifshitz (HL) theory. Although we encounter the negative squared effective masses of…

General Relativity and Quantum Cosmology · Physics 2019-03-13 Mitsuhiro Fukushima , Yosuke Misonoh , Shoichiro Miyashita , Seiga Sato

In scalar-vector-tensor (SVT) theories with parity invariance, we perform a gauge-ready formulation of cosmological perturbations on the flat Friedmann-Lema\^{i}tre-Robertson-Walker (FLRW) background by taking into account a matter perfect…

General Relativity and Quantum Cosmology · Physics 2018-12-12 Lavinia Heisenberg , Ryotaro Kase , Shinji Tsujikawa

We present and analyze a new non-perturbative radiative solution of Horndeski gravity. This exact solution is constructed by a disformal mapping of a seed solution of the shift-symmetric Einstein-Scalar system belonging to the…

General Relativity and Quantum Cosmology · Physics 2024-02-06 Jibril Ben Achour , Mohammad Ali Gorji , Hugo Roussille

We address a dynamical, spherically symmetric background in beyond Horndeski theory and formulate a set of linear stability conditions for high energy perturbation modes above an arbitrary solution. In this general setting we derive speeds…

General Relativity and Quantum Cosmology · Physics 2025-01-20 S. Mironov , M. Sharov , V. Volkova

We identify a scalar-tensor model embedded in the Horndeski action whose cosmological background and linear scalar fluctuations are degenerate with the concordance cosmology. The model admits a self-accelerated background expansion at late…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-17 Lucas Lombriser , Andy Taylor
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