Andronikos Paliathanasis

New Schwarzschild-like solutions in f(T) gravity through Noether symmetries

Spherically symmetric solutions for f(T) gravity models are derived by the so called Noether Symmetry Approach. First, we present a full set of Noether symmetries for some minisuperspace models. Then, we compute analytical solutions and find that spherically symmetric solutions in f(T) gravity can be recast in terms of Schwarzschild-like solutions modified by a distortion function depending on a characteristic radius. The obtained solutions are more general than those obtained by the usual solution methods.

Noether symmetries and analytical solutions in f(T)-cosmology: A complete study

We investigate the main features of the flat Friedmann-Lemaitre-Robertson-Walker cosmological models in the f(T) teleparallel gravity. In particular, a general approach to find out exact cosmological solutions in f (T) gravity is discussed. Instead of taking into account phenomenological models, we consider as a selection criterion, the existence of Noether symmetries in the cosmological f(T) point-like Lagrangian. We find that only power-law models admit extra Noether symmetries. A complete analysis of such cosmological models is developed.

Constraints and analytical solutions of f ( R ) theories of gravity using Noether symmetries

We perform a detailed study of the modified gravity

Lie and Noether symmetries of geodesic equations and collineations

f(R)

Cosmological Solutions of

models in the light of the basic geometrical symmetries, namely Lie and Noether point symmetries, which serve to illustrate the phenomenological viability of the modified gravity paradigm as a serious alternative to the traditional scalar field approaches. In particular, we utilize a model-independent selection rule based on first integrals, due to Noether symmetries of the equations of motion, in order to identify the viability of

f(T)

f(R)

Gravity

models in the context of flat Friedmann-Lema\^{\i}tre-Robertson-Walker cosmologies. The Lie/Noether point symmetries are computed for six modified gravity models that include also a cold dark matter component. As it is expected, we confirm that all the proposed modified gravity models admit the trivial first integral, namely energy conservation. We find that only the

Scalar-Tensor Gravity Cosmology: Noether symmetries and analytical solutions

f(R)=({R}^{b}\ensuremath{-}2\ensuremath{\Lambda}{)}^{c}

Two-dimensional dynamical systems which admit Lie and Noether symmetries

model, which generalizes the concordance

The geometric origin of Lie point symmetries of the Schrödinger and the Klein–Gordon equations

\ensuremath{\Lambda}