arXiv subjects

Nermin Okicic

Publications and source records attributed to Nermin Okicic.

3 recordsLinked to original sources

arXiv2017

A New Representation of the Field Equations of Quadratic Metric-Affine Gravity

We deal with quadratic metric-affine gravity (QMAG), which is an alternative theory of gravity and present a new explicit representation of the field equations of this theory. In our previous work we found new explicit vacuum solutions of QMAG, namely generalised pp-waves of parallel Ricci curvature with purely tensor torsion. Here we do not make any assumptions on the properties of torsion and write down our field equations accordingly. We present a review of research done thus far by several authors in finding new solutions of QMAG and different approaches in generalising pp-waves. We present two conjectures on the new types of solutions of QMAG which the ansatz presented in this paper will hopefully enable us to prove.

gr-qc↗

arXiv2016

Continuity of modulus of noncompact convexity for minimalizable measures of noncompactness

We consider the modulus of noncompact convexity $Δ_{X,ϕ}(\varepsilon)$ associated with the minimalizable measure of noncompactness $ϕ$. We present some properties of this modulus, while the main result of this paper is showing that $Δ_{X,ϕ}(\varepsilon)$ is a subhomogenous and continuous function on $[0,ϕ(\bar{B}_X))$ for an arbitrary minimalizable measure of compactness $ϕ$ in the case of a Banach space $X$ with the Radon-Nikodym property.

math.FA↗

arXiv2016

On modulus of noncompact convexity for a strictly minimalizable measure of noncompactness

In this paper we consider modulus of noncompact convexity $Δ_{X,\varPhi}$ associated with the strictly minimalizable measure of noncompactness $\varPhi$. We also give some its properties and show its continuity on the interval $[0,\varPhi(\bar{B}_X))$.

math.FA↗