University of Szczecin

output

19952026

most citedCosmology Intertwined II: The Hubble Constant Tension

540 citations

346 papers

math.NT2026

Perfect powers in sequences of polygonal numbers

Andrzej Dąbrowski, Salah Eddine Rihane, Gökhan Soydan +1

Let $P_{s} (n)$ denote the $n$ -th $s$ -gonal number. Consider the Diophantine equation $P_{s} (n) = t^{m}$ for integers $n, s, t$ and $m > 2$ . All solutions to this equation are known f…

gr-qc2026★ 1 cited

Optical and orbital characterization of spherically symmetric static black holes of self-gravitating new nonlinear electrodynamics model

İlim İrfan Çimdiker, Ali Övgün, Yosef Verbin

Horizon scale imaging and precision lensing have turned black holes into quantitative laboratories for strong gravity and for non standard electromagnetic physics. We study the opt…

math.OC2026

Stable representations of Hamilton-Jacobi-Bellman equations with infinite horizon

Arkadiusz Misztela, Sławomir Plaskacz

In this paper, for the Hamilton-Jacobi-Bellman equation with an infinite horizon and state constraints, we construct a suitably regular representation. This allows us to reduce the…

gr-qc2026

Finite time pseudo-rip singularity in cosmology

Mariusz P. Dąbrowski, Teodor Borislavov Vasilev

By studying first a new decelerating sudden future singularity (SFS) universe we report finding a novel type of cosmological singularity which we dub a finite time pseudo-rip (FTPR…

astro-ph.CO2025

A Spectrum of Cosmological Rips and Their Observational Signatures

Mikel Artola, Ruth Lazkoz, Vincenzo Salzano

We present a unified dark energy framework capable of generating a continuous spectrum of cosmological ``rip'' scenarios -- including the Big Rip, Grand Rip, Mild Rip, Little Rip,…

gr-qc2025

Mass-to-Horizon Entropic Cosmology: A Unified Thermodynamic Pathway to Cosmic Acceleration

Tomasz Denkiewicz, Hussain Gohar

We investigate the observational tests of generalized mass-to-horizon entropic cosmology by incorporating large-scale structure growth data in addition to purely geometric probes.…