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 …

The dawn of the twenty-first century came with very positive prospects for gravity, cosmology,
and astrophysics. Technological progress made it possible for cosmology to enter to its …

Some parts of the substellar evolution, such as fragmentation of a gaseous cloud and a
Jupiter-like planet's cooling, are demonstrated to be impacted by Palatini f (R¯) gravity …

Recently, a proposal to obtain a finite contribution of second derivative order to the
gravitational field equations in\(D= 4\) dimensions from a renormalized Gauss–Bonnet term …

This paper introduces a general mathematical framework for action-based field theories on
Finsler spacetimes. As most often fields on Finsler spacetime (eg, the Finsler fundamental …

Applying the cosmological principle to Finsler spacetimes, we identify the Lie Algebra of
symmetry generators of spatially homogeneous and isotropic Finsler geometries, thus …

Physical foundations for relativistic spacetimes are revisited in order to check at what extent
Finsler spacetimes lie in their framework. Arguments based on inertial observers (as in the …

Doubly special relativity has been studied for the last 20 years as a way to go beyond the
special relativistic kinematics, trying to capture residual effects of a quantum gravity theory …

A description of many-particle systems, which is more fundamental than the fluid approach,
is to consider them as a kinetic gas. In this approach the dynamical variable in which the …

In this work, we extend for the first time the spherically symmetric Schwarzschild and
Schwarzschild–De Sitter solutions with a Finsler–Randers-type perturbation which is …