Constructing new ghost and singularity free theories of gravity.
In this talk I will present a new theory of gravitation, that can be constructed taken into account infinite derivatives and a non-necessarily symmetric connection. I shall provide linear solutions to the field equations that are proved to be ghost and singularity free. Finally, I will give a hint of the open problems in this subject.
Indirect searches for dark matter with cosmic-ray detectors and the Square Kilometre Array
If dark matter particles annihilate, then we should be able to detect signals of this annihilation in the sky. In this talk I will present the latest relevant advances in dark matter indirect searches focusing on the $e^{+}/e^{-}$ final state. In addition, I will compare the expected fluxes from the annihilation with the latest results of the cosmic-ray positron flux from the AMS-02. Conversely, secondary signatures are also produced in the interaction of $e^{+}/e^{-}$ with the galactic environment. In particular, I will talk about the synchrotron radiation and I shall provide sensitivity constraints for dark matter parameter space with the Square Kilometre Array.