The present review aims to show that a modified space–time with an invariant minimum
speed provides a relation with Weyl geometry in the Newtonian approximation of weak-field …

This paper reviews and extends the recently discovered connections between marginal and
irrelevant stress-energy tensor deformations and gravity theories in arbitrary space-time …

A special relativity based on the de Sitter group is introduced, which is a theory that might
hold up in the presence of a non-vanishing cosmological constant. Like ordinary special …

By incorporating the holographic principle in a time-depending Λ-term cosmology, new
physical bounds on the arbitrary parameters of the model can be obtained. Considering then …

The Poincaré group generalizes the Galilei group for high-velocity kinematics. The de Sitter
group is assumed to go one step further, generalizing Poincaré as the group governing high …

As quotient spaces, Minkowski and de Sitter are fundamental, non-gravitational spacetimes
for the construction of physical theories. When general relativity is constructed on a de Sitter …

The Planck mass and the cosmological constant determine the minimum and the maximum
distances in the physical Universe. A relativistic theory, which takes into account a …

This paper shows the need for the emergence of a universal minimum speed in the space–
time by thoroughly investigating Dirac's large number hypothesis (LNH). We realise that …

The de Sitter spacetime is transitive under a combination of translations and proper
conformal transformations. Its usual family of geodesics, however, does not take into account …

The paper is concerned with the motion of a point electric charge in de Sitter spacetime. A
point particle of mass m and charge q moving on a geodesic curve produces …