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19992026
most citedf(R) theories

3.9k citations · 23.3k across the 206 of their papers we have counts for

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hep-th2019★ 27 cited

Anisotropic -form dark energy

Juan P. Beltrán Almeida, Alejandro Guarnizo, Ryotaro Kase +2

We study the dynamics of dark energy in the presence of a 2-form field coupled to a canonical scalar field . We consider the coupling proportional to $e^{-μϕ/M_{\rm pl}} H_{αβγ}…

hep-th2017★ 23 cited

Instabilities in Horndeski Yang-Mills inflation

Jose Beltran Jimenez, Lavinia Heisenberg, Ryotaro Kase +2

A non-abelian gauge field with a non-minimal Horndeski coupling to gravity gives rise to a de Sitter solution followed by a graceful exit to a radiation-dominated epoch. In…

hep-th2016★ 36 cited

Cosmic microwave background and inflation in multi-fractional spacetimes

Gianluca Calcagni, Sachiko Kuroyanagi, Shinji Tsujikawa

We use FIRAS and Planck 2015 data to place observational bounds on inflationary scenarios in multi-fractional spacetimes with -derivatives. While a power-law expansion in the ge…

hep-th2016★ 138 cited

Beyond generalized Proca theories

Lavinia Heisenberg, Ryotaro Kase, Shinji Tsujikawa

We consider higher-order derivative interactions beyond second-order generalized Proca theories that propagate only the three desired polarizations of a massive vector field beside…

hep-th2014★ 46 cited

Disformal invariance of cosmological perturbations in a generalized class of Horndeski theories

Shinji Tsujikawa

It is known that Horndeski theories can be transformed to a sub-class of Gleyzes-Langlois-Piazza-Vernizzi (GLPV) theories under the disformal transformation of the metric $g_{μν} \…

hep-th2014★ 19 cited

Inflationary gravitational waves in the effective field theory of modified gravity

Antonio De Felice, Shinji Tsujikawa

In the approach of the effective field theory of modified gravity, we derive the second-order action and the equation of motion for tensor perturbations on the flat isotropic cosmo…

hep-th2014★ 60 cited

Effective field theory approach to modified gravity including Horndeski theory and Hořava-Lifshitz gravity

Ryotaro Kase, Shinji Tsujikawa

We review the effective field theory of modified gravity in which the Lagrangian involves three dimensional geometric quantities appearing in the 3+1 decomposition of space-time. O…

hep-th2014★ 55 cited

Cosmology in generalized Horndeski theories with second-order equations of motion

Ryotaro Kase, Shinji Tsujikawa

We study the cosmology of an extended version of Horndeski theories with second-order equations of motion on the flat Friedmann-Lemaître-Robertson-Walker (FLRW) background. In addi…

hep-th2014★ 31 cited

Effective field theory of modified gravity on the spherically symmetric background: leading order dynamics and the odd-type perturbations

Ryotaro Kase, László Árpád Gergely, Shinji Tsujikawa

We consider perturbations of a static and spherically symmetric background endowed with a metric tensor and a scalar field in the framework of the effective field theory of modifie…

hep-th2014★ 71 cited

Effective field theory of modified gravity with two scalar fields: dark energy and dark matter

László Á. Gergely, Shinji Tsujikawa

We present a framework for discussing the cosmology of dark energy and dark matter based on two scalar degrees of freedom. An effective field theory of cosmological perturbations i…

hep-th2013★ 70 cited

Anisotropic power-law k-inflation

Junko Ohashi, Jiro Soda, Shinji Tsujikawa

It is known that power-law k-inflation can be realized for the Lagrangian , where is the kinetic energy of a scalar field and is an arbitrary…

hep-th2013★ 80 cited

Super-renormalizable or finite completion of the Starobinsky theory

Fabio Briscese, Leonardo Modesto, Shinji Tsujikawa

The recent Planck data of Cosmic Microwave Background (CMB) temperature anisotropies support the Starobinsky theory in which the quadratic Ricci scalar drives cosmic inflation. We…

hep-th2013★ 80 cited

Non-local massive gravity

Leonardo Modesto, Shinji Tsujikawa

We present a general covariant action for massive gravity merging together a class of "non-polynomial" and super-renormalizable or finite theories of gravity with the non-local the…

hep-th2013★ 74 cited

Shapes of primordial non-Gaussianities in the Horndeski's most general scalar-tensor theories

Antonio De Felice, Shinji Tsujikawa

In the Horndeski's most general scalar-tensor theories, we derive the three-point correlation function of scalar non-Gaussianities generated during single-field inflation in the pr…

hep-th2012★ 45 cited

Consistency of inflation and preheating in F(R) supergravity

Sergei V. Ketov, Shinji Tsujikawa

We study inflation and preheating in F(R) supergravity characterized by two mass scales of a scalar degree of freedom (scalaron): M (associated with the inflationary era) and m (as…

hep-th2010★ 169 cited

Generalized Galileon cosmology

Antonio De Felice, Shinji Tsujikawa

We study the cosmology of a generalized Galileon field with five covariant Lagrangians in which is replaced by general scalar functions (i=1,...,5). For these th…

hep-th2009★ 155 cited

Solar system constraints on f(G) gravity models

Antonio De Felice, Shinji Tsujikawa

We discuss solar system constraints on f(G) gravity models, where f is a function of the Gauss-Bonnet term G. We focus on cosmologically viable f(G) models that can be responsible…

hep-th2008★ 367 cited

Construction of cosmologically viable f(G) gravity models

Antonio De Felice, Shinji Tsujikawa

We derive conditions under which f(G) gravity models, whose Lagrangian densities f are written in terms of a Gauss-Bonnet term G, are cosmologically viable. The most crucial condit…

hep-th2007★ 72 cited

Prospects of inflation in delicate D-brane cosmology

Sudhakar Panda, M. Sami, Shinji Tsujikawa

We study D-brane inflation in a warped conifold background that includes brane-position dependent corrections for the nonperturbative superpotential. Instead of stabilizing the vol…

hep-th2007★ 49 cited

UV stable, Lorentz-violating dark energy with transient phantom era

Maxim Libanov, Eleftherios Papantonopoulos, Valery Rubakov +2

Phantom fields with negative kinetic energy are often plagued by the vacuum quantum instability in the ultraviolet region. We present a Lorentz-violating dark energy model free fro…

hep-th2006★ 46 cited

Realizing Scale-invariant Density Perturbations in Low-energy Effective String Theory

Zong-Kuan Guo, Nobuyoshi Ohta, Shinji Tsujikawa

We discuss the realization of inflation and resulting cosmological perturbations in the low-energy effective string theory. In order to obtain nearly scale-invariant spectra of den…

hep-th2006★ 122 cited

String-inspired cosmology: Late time transition from scaling matter era to dark energy universe caused by a Gauss-Bonnet coupling

Shinji Tsujikawa, M. Sami

The Gauss-Bonnet (GB) curvature invariant coupled to a scalar field can lead to an exit from a scaling matter-dominated epoch to a late-time accelerated expansion, which is att…

hep-th2006★ 93 cited

General analytic formulae for attractor solutions of scalar-field dark energy models and their multi-field generalizations

Shinji Tsujikawa

We study general properties of attractors for scalar-field dark energy scenarios which possess cosmological scaling solutions. In all such models there exists a scalar-field domina…

hep-th2006★ 29 cited

Inflation from D3-brane motion in the background of D5-branes

Sudhakar Panda, M. Sami, Shinji Tsujikawa +1

We study inflation arising from the motion of a BPS D3-brane in the background of a stack of k parallel D5-branes. There are two scalar fields in this set up-- (i) the radion field…