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View article: Quasi-normal modes of non-commutative geometry-inspired dirty black holes
Quasi-normal modes of non-commutative geometry-inspired dirty black holes Open
We investigate the quasi-normal modes (QNMs) of non-commutative geometry-inspired dirty black holes, focusing on both non-extremal and extremal configurations. These gravitational objects, characterized by smeared energy distributions with…
View article: A spectral approach for quasinormal frequencies of noncommutative geometry-inspired wormholes
A spectral approach for quasinormal frequencies of noncommutative geometry-inspired wormholes Open
We present a detailed investigation of quasinormal modes (QNMs) for noncommutative geometry-inspired wormholes, focusing on scalar, electromagnetic, and vector-type gravitational perturbations. By employing the spectral method, the perturb…
View article: Unified spectral approach for quasinormal modes of Lee-Wick black holes
Unified spectral approach for quasinormal modes of Lee-Wick black holes Open
In this paper, we undertake a comprehensive examination of quasinormal modes\nlinked to Lee-Wick black holes, delving into scalar, electromagnetic, and\ngravitational perturbations using the spectral method. Such black holes can\ndisplay a…
View article: The Universe according to DESI results
The Universe according to DESI results Open
The recent fit of cosmological parameters by the Dark Energy Spectroscopic Instrument (DESI) collaboration will have a significant impact on our understanding of the universe. Given its importance, we conduct several consistency checks and…
View article: A unified spectral approach for quasinormal modes of Morris–Thorne wormholes
A unified spectral approach for quasinormal modes of Morris–Thorne wormholes Open
In this paper, we undertake a comprehensive examination of quasinormal modes (QNMs) linked to Morris–Thorne, also known as Bronnikov–Ellis wormholes, delving into scalar, electromagnetic, and gravitational perturbations using the spectral …
View article: A comment on “Singular and nonsingular black holes using the Gaussian distribution”
A comment on “Singular and nonsingular black holes using the Gaussian distribution” Open
In this work, we join the controversial discussion on singular and nonsingular black holes using the Gaussian distribution. Our result which uses correct boundary conditions shifts the debate in favor of regular black holes at the center. …
View article: Axisymmetric solutions to Einstein field equations via integral transforms
Axisymmetric solutions to Einstein field equations via integral transforms Open
In this paper, we present new axisymmetric and reflection symmetric vacuum solutions to the Einstein field equations. They are obtained using the Hankel integral transform method and all three solutions exhibit naked singularities. Our res…
View article: New vistas on the Laplace–Runge–Lenz vector
New vistas on the Laplace–Runge–Lenz vector Open
Scalar, vector and tensor conserved quantities are essential tools in solving different problems in physics and complex, nonlinear differential equations in mathematics. In many guises they enter our understanding of nature: charge, lepton…
View article: The mathematical foundations of the asymptotic iteration method
The mathematical foundations of the asymptotic iteration method Open
We introduce a new approach to the asymptotic iteration method (AIM) by means of which we establish the standard AIM connection with the continued fractions technique, and we develop a novel termination condition in terms of the approximan…
View article: Emergence of the Gambier equation in cosmology
Emergence of the Gambier equation in cosmology Open
In this paper, we show how the Gambier equation arises in connection to Friedmann–Lemaître–Robertson–Walker (FLRW) cosmology and a Dark Matter equation of state. Moreover, we provide a correspondence between the Friedmann equations and the…
View article: The Tomimatsu–Sato Metric Reloaded
The Tomimatsu–Sato Metric Reloaded Open
In this work, we derive exact analytic formulae for the inner and outer surfaces representing the boundary of the ergoregion appearing in the Tomimatsu–Sato (TS) metric. Exact expressions for the radii of the ergoregion in prolate spheroid…
View article: On the Eigenvalues of the Fermionic Angular Eigenfunctions in the Kerr Metric
On the Eigenvalues of the Fermionic Angular Eigenfunctions in the Kerr Metric Open
In view of a result recently published in the context of the deformation theory of linear Hamiltonian systems, we reconsider the eigenvalue problem associated with the angular equation arising after the separation of the Dirac equation in …
View article: Relevant scales for the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>C</mml:mi></mml:math>-metric with a positive cosmological constant
Relevant scales for the-metric with a positive cosmological constant Open
In this work, we study the weak and strong gravitational lensing in the\npresence of an accelerating black hole in a universe with positive cosmological\nconstant $\\Lambda$. First of all, we derive new perturbative formulae for the\nevent…
View article: Fuzzy dark matter black holes and droplets
Fuzzy dark matter black holes and droplets Open
We consider the possibility of having Dark Matter (DM) black holes motivated by the Einasto density profile. This generalizes both the noncommutative mini black hole model and allows DM to enter as the matter constituent which makes up the…
View article: Light bending in a two black hole metric
Light bending in a two black hole metric Open
We discuss the propagation of light in the C -metric. We discover that null geodesics admit circular orbits only for a certain family of orbital cones. Explicit analytic formulae are derived for the orbital radius and the corresponding ope…
View article: Circular orbits for light in a two black hole metric
Circular orbits for light in a two black hole metric Open
We discuss the propagation of light in the C-metric. We discover that null geodesics admit circular orbits only for a certain family of orbital cones. Explicit analytic formulae are derived for the orbital radius and the corresponding open…
View article: Viscous cosmologies
Viscous cosmologies Open
We probe into universes filled with Quark Gluon Plasma with non-zero viscosities. In particular, we study the evolution of a universe with non-zero shear viscosity motivated by the theoretical result of a non-vanishing shear viscosity in t…
View article: Reply to “Comment on ‘Some exact quasinormal frequencies of a massless scalar field in Schwarzschild spacetime’”
Reply to “Comment on ‘Some exact quasinormal frequencies of a massless scalar field in Schwarzschild spacetime’” Open
We address the concerns raised by the author of "Comment: Some exact\nquasinormal frequencies of a massless scalar field in Schwarzschild spacetime"\nappeared in arXiv:1807.05940. In particular, we explain why the analysis in our\npaper [P…
View article: New indefinite integrals of Heun functions
New indefinite integrals of Heun functions Open
We present a conspicuous number of indefinite integrals involving Heun\nfunctions and their products obtained by means of the Lagrangian formulation of\na general homogeneous linear ordinary differential equation. As a by-product we\nalso …
View article: Some exact quasinormal frequencies of a massless scalar field in Schwarzschild spacetime
Some exact quasinormal frequencies of a massless scalar field in Schwarzschild spacetime Open
We show that not all quasinormal modes of a massless scalar field in the\nSchwarzschild metric are encoded in the corresponding characteristic equation\nexpressed by means of a continued fraction. We provide an analytical formula\nfor thes…
View article: Quantum-mechanical corrections to the Schwarzschild black-hole metric
Quantum-mechanical corrections to the Schwarzschild black-hole metric Open
Motivated by quantum mechanical corrections to the Newtonian potential, which\ncan be translated into an $\\hbar$-correction to the $g_{00}$ component of the\nSchwarzschild metric, we construct a quantum mechanically corrected metric\nassu…
View article: The problem of embedded eigenvalues for the Dirac equation in the Schwarzschild black hole metric
The problem of embedded eigenvalues for the Dirac equation in the Schwarzschild black hole metric Open
We use the Dirac equation in a fixed black hole background and different independent techniques to demonstrate the absence of fermionic bound states around a Schwarzschild black hole. In particular, we show that no embedded eigenvalues exi…