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Noether Symmetry Approach for teleparallel-curvature cosmology
Salvatore Capozziello, Mariafelicia De Laurentis, Ratbay Myrzakulov
We consider curvature-teleparallel gravity, where the gravitational Lagrangian density is given by an arbitrary function of the Ricci scalar and the torsion scalar …
Topological invariant quintessence
Mariafelicia De Laurentis
The issues of quintessence and cosmic acceleration can be discussed in the framework of theories of gravity where is the Ricci curvature scalar and …
Noether Symmetry Approach for Dirac-Born-Infeld Cosmology
Salvatore Capozziello, Mariafelicia De Laurentis, Ratbay Myrzakulov
We consider the Noether Symmetry Approach for a cosmological model derived from a tachyon scalar field with a Dirac-Born-Infeld Lagrangian and a potential . Furthermore,…
Connecting early and late universe by gravity
Salvatore Capozziello, Mariafelicia De Laurentis, Orlando Luongo
Inflation and dark energy are two of the most relevant aspects of modern cosmology. These different epochs provide the universe is passing through accelerated phases soon after the…
Invariant solutions and Noether symmetries in Hybrid Gravity
Andrzej Borowiec, Salvatore Capozziello, Mariafelicia De Laurentis +4
Symmetries play a crucial role in physics and, in particular, the Noether symmetries are a useful tool both to select models motivated at a fundamental level, and to find exact sol…
Rotation Curve with MOND and Dark Matter Halo profile for ESO138-G014
Norsiah Hashim, Mariafelicia De Laurentis, Zamri Zainal Abidin +1
This paper is devoted to solve the galactic rotation problem for ESO138-G014 galaxy based on two theories: dark matter and Modified Newtonian Dynamics. Here we did the rotation cur…
Curvature dark energy reconstruction through different cosmographic distance definitions
Salvatore Capozziello, Mariafelicia De Laurentis, Orlando Luongo
In the context of gravity, dark energy is a geometrical fluid with negative equation of state. Since the function is not known \emph{a priori}, th…
Noether Symmetry Approach in Gauss-Bonnet Cosmology
Salvatore Capozziello, Mariafelicia De Laurentis, Sergei D. Odintsov
We discuss the Noether Symmetry Approach in the framework of Gauss-Bonnet cosmology showing that the functional form of the function, where is the Ricci scalar…
The Affine Structure of Gravitational Theories: Symplectic Groups and Geometry
Salvatore Capozziello, Diego Julio Cirilo-Lombardo, Mariafelicia De Laurentis
We give a geometrical description of gravitational theories from the viewpoint of symmetries and affine structure. We show how gravity, considered as a gauge theory, can be consist…