A number of challenges to the standard Λ CDM model have been emerging during the past
few years as the accuracy of cosmological observations improves. In this review we discuss …

It is well known that quantum field theory (QFT) induces a huge value of the cosmological
constant (CC), Λ, which is outrageously inconsistent with cosmological observations. We …

The renormalization of the vacuum energy in quantum field theory (QFT) is usually plagued
with theoretical conundrums related not only with the renormalization procedure itself, but …

The cosmological constant (CC) term in Einstein's equations, Λ, was first associated to the
idea of vacuum energy density. Notwithstanding, it is well-known that there is a huge, in fact …

We examine the observational viability of a class of f (R) gravity cosmological models.
Particular attention is devoted to constraints from the recent observational determination of …

Recent studies of quantum field theory in FLRW spacetime suggest that the cause of the
speeding up of the universe is the running vacuum (RV), see Moreno-Pulido and Solà …

Abstract The\(\Lambda\)-term in Einstein's equations is a fundamental building block of the
'concordance'\(\Lambda\) CDM model of cosmology. Even though the model is not free of …

We present a full-fledged analysis of Brans–Dicke cosmology with a cosmological constant
and cold dark matter (BD-ΛCDM for short). We extend the scenarios where the current …

In this work, we study different types of dark energy (DE) models in the framework of the
cosmographic approach, with emphasis on the running vacuum models (RVMs). We assess …

We study a generic class of time-evolving vacuum models which can provide a better
phenomenological account of the overall cosmological observations as compared to the Λ …