The exploration of the universe has recently entered a new era thanks to the multi-
messenger paradigm, characterized by a continuous increase in the quantity and quality of …

Teleparallel gravity (TG) has significantly increased in popularity in recent decades, bringing
attention to Einstein's other theory of gravity. In this Review, we give a comprehensive …

In this review we present a thoroughly comprehensive survey of recent work on modified
theories of gravity and their cosmological consequences. Amongst other things, we cover …

Extended Theories of Gravity can be considered as a new paradigm to cure shortcomings of
General Relativity at infrared and ultraviolet scales. They are an approach that, by …

ABSTRACT The Wilkinson Microwave Anisotropy Probe (WMAP) 5-year data provide
stringent limits on deviations from the minimal, six-parameter Λ cold dark matter model. We …

Over the past decade, f (R) theories have been extensively studied as one of the simplest
modifications to General Relativity. In this article we review various applications of f (R) …

We review in detail a number of approaches that have been adopted to try and explain the
remarkable observation of our accelerating universe. In particular we discuss the arguments …

We review different dark energy cosmologies. In particular, we present the Λ CDM
cosmology, Little Rip and Pseudo-Rip universes, the phantom and quintessence …

The recent discovery by Advanced LIGO and Advanced Virgo of a gravitational wave signal
from a binary neutron star inspiral has enabled tests of general relativity (GR) with this new …

Modified gravity theories have received increased attention lately due to combined
motivation coming from high-energy physics, cosmology, and astrophysics. Among …