Browsing by Author "Ahmed, Faizuddin"

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Behavior of Spin-0 Scalar Particles in Eddington-Inspired Born-Infeld Gravity Global Monopole with Harmonic Oscillator Potential
(World Scientific Publ Co Pte Ltd, 2024) Ahmed, Faizuddin; Guevendi, Abdullah
In this paper, we investigate the behavior of a scalar bosonic field within the backdrop of Eddington-inspired Born-Infeld gravity with a global monopole configuration. Additionally, we consider the presence of both scalar and vector potentials. To introduce the scalar potential, we perform a transformation on the mass term, replacing M2 with (M+S)2. For the vector potential, we apply a minimal coupling scheme, transforming p mu -> D mu equivalent to(p mu-eA mu) within the relativistic Klein-Gordon equation. We opt for a harmonic oscillator scenario where the scalar and vector potentials are equal, i.e. S=V proportional to x2. Through this setup, we analytically solve the wave equation using the confluent Heun equation form. Subsequently, we delve into the quantum system in the absence of any potential, determining the permissible values for bound-state relativistic energy levels and the scalar field's wave function. Our analysis reveals that the energy levels and wave function are influenced by various parameters present in the eigenvalue expression.
Btz Black Hole in R Plus Α a Gravity and Thermodynamic Properties
(Elsevier, 2024) Ahmed, Faizuddin; Guvendi, Abdullah
In this study, we aim to investigate the rotating Banados-Teitelboim-Zanelli (BTZ) black hole (BH) solution within the framework of modified gravity theories. Notably, our investigation reveals that the BTZ BH space-time serves as a solution within the framework of Ricci-inverse (RI) gravity, particularly within Class-I models defined by f (R, S) = (R + alpha A). Here, R = g(mu nu) R-mu nu and A = g(mu nu) A(mu nu) denote the Ricci and anti-curvature scalars, respectively, while a represents the coupling parameter. We show that this new modified theory induces modifications to the cosmological constant, demonstrating the influence of the coupling parameter a when analyzed in a vacuum as matter content. Additionally, we study the thermodynamic properties of this BTZ BH solution obtained within the RI-gravity framework and analyze the associated physical quantities. It is evident that the thermodynamic parameters, including BH horizons, Hawking temperature, entropy, free energy, internal energy, and specific heat capacity, undergo alterations due to the coupling constant alpha. Specifically, when alpha = 0, our findings align with the outcomes documented in existing literature obtained in the general relativity (GR) context using the BTZ BH solution.
Dirac Oscillator in the Background of a Minimal Surface
(World Scientific Publ Co Pte Ltd, 2025) Guvendi, Abdullah; Ahmed, Faizuddin
This study focuses on investigating the relativistic quantum dynamics of a fermionic oscillator field in the background of a minimal surface, specifically a catenoid bridge. Our primary objective is to analyze the bound-state solutions of this system by solving the non-perturbative radial wave equation. To achieve this, we consider two distinct scenarios. First, we explore the case where the particle is located inside the catenoid bridge and search for solutions to the wave equation. Subsequently, we extend our analysis to scenarios where the particle is positioned at a significant distance from the origin, comparable to the size of the catenoid bridge. In this regime, we obtain solutions to the wave equation to understand the behavior of the fermionic oscillator field. By examining these solutions, we investigate the influence of both the oscillator coupling and the spacetime background on the system.
Dirac Oscillator in the Near-Horizon Region of BTZ Black Hole
(IOP Publishing Ltd, 2024) Guvendi, Abdullah; Ahmed, Faizuddin
- In this paper, we explore the evolution of a Dirac oscillator (DO) field within the nearhorizon region of the Banados, Teitelboim, and Zanelli (BTZ) black hole (BH) by seeking exact solutions to the corresponding DO equation. We obtain the relativistic frequency expression and analyze the impact of various parameters implicated in it. Our findings reveal that the damped mode of this fermionic oscillator field relies on the BH mass, spin of the fermionic field, and frequency of the oscillator field. Lastly, we focus on the quantum system for a zero oscillator frequency as a specific case and thoroughly analyze the obtained results.
Interacting Fermion-Antifermion Pairs via Cornell-Type Coupling in Magnetized Space-Time with a Cosmological Constant
(Royal Soc, 2025) Guvendi, Abdullah; Abdelmalek, Bouzenada; Ahmed, Faizuddin
In this study, we aim to investigate the interaction dynamics of a fermion-antifermion (f f(-)) pair within a curved three-dimensional space-time with a non-zero cosmological constant (Lambda>0). Our primary goal is to understand the relative motion of this pair by deriving a radial equation set and finding analytical solutions using the covariant many-body Dirac equation. We begin by formulating the relevant equation, which leads to a 4x4 matrix equation governing the motion of the pair. We present a non-perturbative second-order wave equation for the quantum system and demonstrate that it can be solved under the assumption that Lambda is small. This assumption allows us to derive analytical solutions using well-known special functions. Accordingly, we explore the impact of the space-time background on the dynamics of the coupled pairs.
Rainbow Gravity's Effects on Scalar Field in Wormhole Background with Cosmic Strings
(Elsevier, 2024) Ahmed, Faizuddin; Guvendi, Abdullah
Our primary focus is to investigate how the presence of cosmic strings affects a scalar field within the context of a static and circularly symmetric three-dimensional wormhole when subjected to the effects of rainbow gravity. To accomplish this, we address the relativistic Klein- Gordon wave equation and derive analytical solutions for the quantum system by employing the confluent Heun function. Significantly, our research reveals that the behavior of the scalar fields is notably influenced not only by the cosmic strings and wormhole throat radius but also by the parameter of rainbow gravity.
Relativistic Fermions and Vector Bosons in Magnetized Three-Dimensional Space-Time with a Cosmological Constant
(Elsevier, 2024) Guvendi, Abdullah; Ahmed, Faizuddin; Dogan, Semra Gurtas
In this manuscript, we study the relativistic dynamics of fermions and vector bosons within a (2+1)-dimensional magnetized space-time. We consider the Bonnor-Melvin magnetic spacetime, characterized by a homogeneous magnetic field aligned along the symmetry axis and a non-zero cosmological constant. This space-time background, featuring cylindrical symmetry, retains the invariance of quantum field dynamics under Lorentz boosts along the z-direction. This enables us to explore (2+1)-dimensional realms, where the associated 2+1 -dimensional spacetime background is recognized as the Bonnor-Melvin magnetic 2+1+0-brane solution within the framework of gravity coupled with nonlinear electrodynamics. We seek exact solutions for relativistic fermions and vector bosons within this space-time background. We have managed to derive the radial wave equations in both instances, securing precise eigenvalue solutions devoid of any approximations. Our findings extend seamlessly to massless fermions and vector bosons, ensuring generality. Moreover, we observe that the ground state energy of massless vector bosons (photons) within the examined space-time background is unequivocally zero.
Relativistic Quantum Motions of Bosonic Field Under Rainbow Gravity's Environment with Point-Like Defect
(Elsevier, 2024) Ahmed, Faizuddin; Guvendi, Abdullah
In this paper, we focus on the relativistic quantum motions of spin -0 bosonic field in the background of a point -like global monopole taking into account the effects of background curvature. Moreover, we consider this quantum system in the presence of rainbow gravity's environment and analyze the influence on the behavior of scalar bosonic field. We solve the radial equation of the Klein -Gordon wave equation and present non-perturbative eigenvalue solutions for such a system by choosing well-known pair of rainbow functions, for examples, (i) f (x) = 1, root root [ ] h(x) = 1 - fl0 x; (ii) f (x) = 1, h(x) = 1 - fl0 x2; (iii) f(x) = exp(fl0 x) - 1 /(fl0 x), h(x) = 1, and (iv) f (x) = (1 - fl0 x)-1 = h(x), where x = |E |/Ep, and fl0 is the rainbow parameter. In fact, it is shown that the energy eigenvalues and the wave functions of bosonic fields are influenced by the rainbow parameter fl0. Furthermore, the eigenvalue solutions depend on the global monopole of the geometry characterized by the parameter a. The presence of a global monopole breaks the degeneracy of energy spectra and modifies the results compared to the flat space.
Relativistic Quantum Oscillator Under Rainbow Gravity's Effects in Traversable Wormhole with Disclination
(World Scientific Publ Co Pte Ltd, 2023) Guvendi, Abdullah; Ahmed, Faizuddin
In this paper, our principal objective is to investigate the impact of disclination and throat radius of a three-dimensional traversable wormhole on quantum oscillator fields. Specifically, we focus on Perry-Mann-type wormhole with disclination while also considering the influence of rainbow gravity's. We derive the radial equation of the relativistic Klein-Gordon oscillator within this wormhole background under the effects of gravity's rainbow and the analytical eigenvalue solution is obtained using the confluent Heun function. In fact, we show that the behavior of the oscillator fields is significantly influenced not only by the presence of disclination and the throat radius but also by the parameter of rainbow gravity's. We choose various such rainbow functions to present and analyze the eigenvalue solutions of the quantum oscillator fields.
Weyl Fermions in a (2+1)-Dimensional Gravitational Wave Spacetime
(World Scientific Publ Co Pte Ltd, 2024) Guvendi, Abdullah; Ahmed, Faizuddin
In this study, we work on understanding the behavior of relativistic fermions within the framework of a (2+1)-dimensional gravitational wave environment. Our main objective is to uncover an analytical solution for the massless Dirac equation in this particular scenario. Initially, we derive a set of coupled equations that describe the quantum dynamics of the system under consideration. Subsequently, we embark on finding an analytical solution for the resulting wave equation governing Weyl fermions by utilizing the generators associated with the s & ell;2 algebra. This approach enables us to determine the relativistic frequency modes of the system. We then delve into examining how the parameters of the gravitational wave spacetime influence the real oscillation modes of Weyl fermions. Our findings highlight the sensitivity of Weyl fermions to the specific gravitational wave spacetime background being considered.