A simple generalization to Einstein's general relativity (GR) was recently proposed which
allows a correction term T α β T α β in the action functional of the theory. This theory is called …

Flat rotation curves (RCs) in disc galaxies provide the main observational support to the
hypothesis of surrounding dark matter (DM). Despite of the difficulty in identifying the DM …

In this paper, we study the Jeans analysis in the context of energy–momentum-squared
gravity (EMSG). More specifically we find the new Jeans mass for non-rotating infinite …

Jeans instability within the framework of post-Newtonian Boltzmann and Poisson equations
are analyzed. The components of the energy–momentum tensor are calculated from a post …

We study the Jeans gravitational instability for a mixture of baryonic and dark matter
particles, in the post-Newtonian approximation. We adopt a kinetic model consisting of a …

This book introduces and develops post-Newtonian kinetic and phenomenological theories
in a self-contained manner. The starting point for phenomenological theory is Einstein's field …

We present the structure of a low angular momentum accretion flows around rotating
compact objects incorporating relativistic corrections up to the leading post-Newtonian …

It has recently been demonstrated (Giusti in Phys Rev D 101: 124029, 2020, https://doi.
org/10.1103/PhysRevD. 101.124029) that characteristic traits of Milgrom's modified …

The second post-Newtonian hydrodynamic equations are analyzed within the framework of
a plane wave solution. The hydrodynamic equations for the mass and momentum density …

We study gravitomagnetic instabilities of a static homogeneous medium with an aligned
magnetic field in the two contexts of relativistic magnetohydrodynamics (MHD): first, MHD …