Manuel E. Rodrigues

Anisotropic Universe Models in f(T) Gravity

We investigate the cosmological reconstruction in anisotropic universe for both homogeneous and inhomogeneous content of the universe. Special attention is attached to three interesting cases: Bianchi type-I, Bianchi type-III and Kantowski-Sachs models. The de Sitter, power-law and general exponential solutions are assumed for the scale factor in each spatial direction and the corresponding cosmological models are reconstructed. Moreover, for the general exponential solutions, from which the de Sitter and power-law solutions may be obtained, we obtain models which reproduce the early universe, assumed as the inflation, and the late time accelerated expanding universe. The models obtained for the late time universe are consistent with a known result in literature where a power-law type correction in T is added to a power-law type of f(T) for guaranteeing the avoidance of the Big Rip and the Big Freeze.

Phantom black holes in Einstein-Maxwell-dilaton theory

We obtain the general static, spherically symmetric solution for the Einstein-Maxwell-dilaton system in four dimensions with a phantom coupling for the dilaton and/or the Maxwell field. This leads to new classes of black hole solutions, with single or multiple horizons. Using the geodesic equations, we analyze the corresponding Penrose diagrams revealing, in some cases, new causal structures.

Charged black holes in generalized teleparallel gravity

In this paper we investigate charged static black holes in 4D for generalized teleparallel models of gravity, based on torsion as the geometric object for describing gravity according to the equivalence principle. As a motivated idea, we introduce a set of non-diagonal tetrads and derive the full system of non linear differential equations. We prove that the common Schwarzschild gauge is applicable only when we study linear f(T) case. We reobtain the Reissner-Nordstrom-de Sitter (or RN-AdS) solution for the linear case of f(T) and perform a parametric cosmological reconstruction for two nonlinear models. We also study in detail a type of the no-go theorem in the framework of this modified teleparallel gravity.

Regular black holes in f(T) Gravity through a nonlinear electrodynamics source

We seek to obtain a new class of exact solutions of regular black holes in

Cosmological viable f( R, T )dark energy model: dynamics and stability

f(T)

Phantom Black Holes and Sigma Models

Gravity with non-linear electrodynamics material content, with spherical symmetry in

Inhomogeneous universe in f(T) theory

4D

Thermodynamical, geometrical and Poincaré methods for charged black holes in presence of quintessence

. The equations of motion provide the regaining of various solutions of General Relativity, as a particular case where the function

ΛCDM model in f(T) gravity: reconstruction, thermodynamics and stability

f(T)=T

Status of MICROSCOPE, a mission to test the Equivalence Principle in space

. We developed a powerful method for finding exact solutions, where we get the first new class of regular black holes solutions in the