8 papers
Exact solutions for slowly rotating wormholes in the presence of an anisotropic fluid
Davide Batic, Denys Dutykh, Mark Essa Sukaiti
We construct slowly rotating traversable wormholes in the presence of an anisotropic fluid. Starting from a Teo-type stationary, axisymmetric extension of the Morris-Thorne metric,…
Spectral Analysis of Quasinormal Modes of Planck Stars
Davide Batic, Denys Dutykh, Fabio Scardigli
We investigate the quasinormal modes (QNMs) of Planck stars within the framework of scale-dependent gravity (SDG). In our setup, the running parameter is fixed to a negative v…
From Time Series Expansion to Proper Generalized Decomposition via Graph-Theoretical Connection: Stabilized Simulation of Fluids Flow
Ahmad Deeb, Vladimir Parezanovic, Denys Dutykh
In this paper, we employ graph theory to establish a connection between the Time Series Expansion (TSE) and Proper Generalized Decomposition (PGD) methods. Using the concept of a d…
A Spectral Approach for Quasinormal Frequencies of Noncommutative Geometry-inspired Wormholes
Davide Batic, Denys Dutykh, Joudy Jamal Beek
We present a detailed investigation of quasinormal modes (QNMs) for noncommutative geometry-inspired wormholes, focusing on scalar, electromagnetic, and vector-type gravitational p…
Instability Analysis of Massive Static Phantom Wormholes via the Spectral Method
Davide Batic, Denys Dutykh
Using the spectral method, we investigate the scalar and axial quasinormal modes (QNMs) of massive static phantom wormholes. Our results reveal the existence of purely imaginary QN…
Numerical Integration of Navier-Stokes Equations by Time Series Expansion and Stabilized FEM
Ahmad Deeb, Denys Dutykh
This manuscript introduces an advanced numerical approach for the integration of incompressible Navier-Stokes (NS) equations using a Time Series Expansion (TSE) method within a Fin…