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We investigate circumstances under which one can generalize Horndeski's most general scalar-tensor theory of gravity. Specifically we demonstrate that a nonlinear combination of purely kinetic gravity terms can give rise to an accelerating…

Cosmology and Nongalactic Astrophysics · Physics 2012-11-06 Stephen A. Appleby , Antonio De Felice , Eric V. Linder

Within the scheme of modified gravity, an exponential Lagrangian density will be considered, and the corresponding scalar-tensor description will be addressed for both positive and negative values of the cosmological constant. For negative…

General Relativity and Quantum Cosmology · Physics 2008-11-26 O. M. Lecian , G. Montani

We introduce a new class of scalar-tensor theories that extend Horndeski, or "generalized galileon", models. Despite possessing equations of motion of higher order in derivatives, we show that the true propagating degrees of freedom obey…

High Energy Physics - Theory · Physics 2015-06-03 Jérôme Gleyzes , David Langlois , Federico Piazza , Filippo Vernizzi

We consider a general Kaluza-Klein reduction of a truncated Lovelock theory. We find necessary geometric conditions for the reduction to be consistent. The resulting lower-dimensional theory is a higher derivative scalar-tensor theory,…

High Energy Physics - Theory · Physics 2014-12-04 C. Charmousis , B. Goutéraux , E. Kiritsis

We explore the four-dimensional effective $F(T)$ gravity with $T$ the torsion scalar in teleparallelism originating from higher-dimensional space-time theories, in particular the Kaluza-Klein (KK) and Randall-Sundrum (RS) theories. First,…

General Relativity and Quantum Cosmology · Physics 2013-09-03 Kazuharu Bamba , Shin'ichi Nojiri , Sergei D. Odintsov

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

Here we consider a variant of the 5 dimensional Kaluza-Klein theory within the framework of Einstein-Cartan formalism that includes torsion. By imposing a set of constraints on torsion and Ricci rotation coefficients, we show that the…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Karthik H. Shankar , Kameshwar C. Wali

We construct a familly of exact solutions of Lovelock equations describing codimension four branes with discrete symmetry in the transverse space. Unlike what is known from pure Einstein gravity, where such brane solutions of higher…

General Relativity and Quantum Cosmology · Physics 2010-01-15 Robin Zegers

We study the bound on the compactness of a stellar object in pure Lovelock theories of arbitrary order in arbitrary spacetime dimensions, involving electromagnetic field. The bound we derive for a generic pure Lovelock theory, reproduces…

General Relativity and Quantum Cosmology · Physics 2020-07-06 Sumanta Chakraborty , Naresh Dadhich

In the current review, we provide a summary of the recent progress made in the cosmological aspect of extra-dimensional Lovelock gravity. Our review covers a wide variety of particular model/matter source combinations:…

General Relativity and Quantum Cosmology · Physics 2024-12-03 Sergey Pavluchenko

We develop a semiclassical theory of modified gravity with nontrivial spacetime torsion. In particular, we show that the semiclassical treatment can be axiomatized in the case of Einstein--Cartan theory with a nonminimally coupled, free…

General Relativity and Quantum Cosmology · Physics 2026-02-26 R. Morales-Cabrera , Y. Bonder

The most general covariant action describing gravity coupled to a scalar field with only second order equations of motion, Horndeski's theory (also known as "Generalized Galileons"), provides an all-encompassing model in which single scalar…

Cosmology and Nongalactic Astrophysics · Physics 2014-03-24 Jolyon Bloomfield

A fourth-order theory of gravity is considered which in terms of dynamics has the same degrees of freedom and number of constraints as those of scalar-tensor theories. In addition it admits a canonical point-like Lagrangian description. We…

General Relativity and Quantum Cosmology · Physics 2017-04-05 Andronikos Paliathanasis

Einstein gravity at $D\rightarrow 2$ limit can be obtained from the Kaluza-Klein procedure by taking the dimensions of the internal space to zero while keeping only the breathing mode. The resulting scalar-tensor theory can be further…

High Energy Physics - Theory · Physics 2023-03-29 Qi-Yuan Mao , H. Lu

We generalize the scale invariant gravity by allowing a negative kinetic energy term for the classical scalar field. This gives birth to a new scalar-tensor theory of gravity, in which the scalar field is in fact an auxiliary field. For a…

High Energy Physics - Theory · Physics 2007-05-23 Shih-Yuin Lin , Kin-Wang Ng

A D-dimensional induced gravity theory is studied carefully in a $4 + (D-4)$ dimensional Friedmann-Robertson-Walker space-time. We try to extract information of the symmetry breaking potential in search of an inflationary solution with…

High Energy Physics - Theory · Physics 2009-10-31 W. F. Kao

Scalar fields have played an important role in the development of the fundamental theories of physics as well as in other branches of physics such as gravitation and cosmology. For a long time these escaped detection until 2012 year when…

General Relativity and Quantum Cosmology · Physics 2019-05-29 Israel Quiros

Horndeski gravity was highly constrained from the recent gravitational wave observations by the LIGO Collaboration down to $|c_{g}/c-1|\gtrsim 10^{-15}$. In this Letter we study the tensorial perturbations in a flat cosmological background…

General Relativity and Quantum Cosmology · Physics 2020-05-01 Sebastian Bahamonde , Konstantinos F. Dialektopoulos , Viktor Gakis , Jackson Levi Said

By using the formalism of thin-shells, we construct a geometrical model of a particle in third-order Lovelock gravity. This particular theory which is valid at least in 7 dimensions, provides enough degrees of freedom and grounds towards…

High Energy Physics - Theory · Physics 2020-09-15 S. Danial Forghani , S. Habib Mazharimousavi , Mustafa Halilsoy

Using a Hamiltonian treatment, charged thin shells in spherically symmetric spacetimes in d dimensional Lovelock-Maxwell theory are studied. The coefficients of the theory are chosen to obtain a sensible theory, with a negative cosmological…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Goncalo A. S. Dias , Sijie Gao , Jose' P. S. Lemos
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