Dark matter and dark energy are a cosmological mystery in modern cosmology. The supernova observations of Riess (1998) and Perlmutter (1998) first indicated that the universe is undergoing an accelerated expansion. Cosmological observations and cosmic microwave background data suggest that the universe is spatially flat and is dominated by an exotic component with large negative pressure dubbed as dark energy. Wilkinson Microwave Anisotropy Probe (WMAP) measures that dark energy, dark matter, and baryonic matter occupy 73%, 23%, and 4%, respectively, of the energy-mass content of the universe. In order to explain this accelerated expansion of the universe, two different approaches have been advocated: to construct different dark energy candidates and to modify Einstein’s theory of gravitation. Some relevant alternatives to Einstein’ s theory of gravitation are Brans-Dicke (BD) (1961), Saez-Ballester (1986), and other scalar-tensor theories of gravitation, f(R) gravity, f(R,T) gravity, and f(T) gravity.

In recent years, there have been several further investigations on dark matter and dark energy cosmological models in alternative theories of gravitation. In the proposed special issue, progresses on dark matter and dark energy cosmologies in alternative theories of gravitation are invited to be presented. The main objective of this special issue is to create a platform for exchange of views on recent developments and achievements in this particular area of interesting and illuminating subject.

We are, therefore, inviting researchers in this area to submit original research papers and review articles that will stimulate further interest in this modern topic.

Potential topics include, but are not limited to:

• Dark matter and dark energy models
• Dark energy models in scalar-tensor theories of gravitation
• Dark energy models in f(R), f(R,T), F(T), and other modified theories of gravitation
• Interacting and noninteracting holographic dark energy models