Imprints of dark matter on wormhole geometry in modified teleparallel gravity

Mustafa, G.; Hussain, Ibrar; Atamurotov, Farruh; Liu, Wu-Ming

doi:10.1140/epjp/s13360-023-03775-y

Cited by 16 publications

(9 citation statements)

References 55 publications

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“…In fact, the influence of topological defects in spacetime on the spectroscopic structure of quantum mechanical systems have been a subject of research attention over the years. The harmonic oscillator is studied in the context of Dirac and Klein-Gordon (KG) [19][20][21][22][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45] in different spacetime backgrounds.…”

Section: Introductionmentioning

confidence: 99%

Confined Klein–Gordon oscillators in Minkowski spacetime and a pseudo-Minkowski spacetime with a space-like dislocation: PDM KG-oscillators, isospectrality and invariance

Mustafa

2022

Annals of Physics

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Section: Introductionmentioning

confidence: 99%

Confined Klein–Gordon oscillators in Minkowski spacetime and a pseudo-Minkowski spacetime with a space-like dislocation: PDM KG-oscillators, isospectrality and invariance

Mustafa

2022

Annals of Physics

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“…This parameter arose as a result of an exact equivalence between the Aharonov-Bohm effect and the Aharonov-Casher effect (both for spin-1/2 Dirac fermions) [99]. It is interesting to mention that recently the conical Gödel-type spacetime has been studied in the Klein-Gordon [100,101].…”

Section: Introductionmentioning

confidence: 99%

The noncommutative quantum Hall effect with anomalous magnetic moment in three different relativistic scenarios

2023

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In this paper, we analyze the relativistic and nonrelativistic energy spectra (fermionic Landau levels) for the noncommutative quantum Hall effect with anomalous magnetic moment in the conical Gödel-type spacetime in (2 + 1)-dimensions, where such spacetime is the combination of the flat Gödel-type spacetime with a cosmic string (conical gravitational topological defect). To analyze these energy spectra, we start from the noncommutative Dirac equation with minimal and nonminimal couplings in polar coordinates. Using the tetrads formalism, we obtain a second-order differential equation. Next, we solve exactly this differential equation, where we obtain a generalized Laguerre equation, and also a quadratic polynomial equation for the total relativistic energy. By solving this polynomial equation, we obtain the relativistic energy spectrum of the fermion and antifermion. Besides, we also analyze the nonrelativistic limit of the system, where we obtain the nonrelativistic energy spectrum. In both cases (relativistic and nonrelativistic), we discuss in detail the characteristics of each spectrum as well as the influence of all parameters and physical quantities in such spectra. Comparing our problem with other works, we verified that our results generalize several particular cases in the literature.

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“…Through wormholes, very large distances, such as a billion light years, small distances, such as a few meters, different points in time, or different universes, might all be connected [33]. By measuring gravity waves and looking for echoes of the gravitational wave signal at the size of black holes [34,35], Bueno et al [36] recently suggested one potential method of observation. The ringdown period following the merger of binary coalescences would be associated with these gravitational waves.…”

Section: Introductionmentioning

confidence: 99%

New spherically symmetric wormhole solutions in f(Q)-gravity theory

Kiroriwal,

Kumar,

Maurya

et al. 2023

Phys. Scr.

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In this study, we examine the new spherically symmetric wormhole solutions in modified symmetric teleparallel (f(Q)) gravity theory. Using the Morris-Thorne method, we construct traversable wormholes with a physically reasonable energy condition and investigate their stability under small perturbations. We discuss two wormhole geometries under the linear functional form of f(Q) with two distinct shape functions. Our results show that the violations of energy conditions in f(Q) gravity provide a viable framework for the study of wormholes. We analyze the properties of wormholes and their behavior under different conditions such as energy conditions, equilibrium conditions, and volume integral quantifiers to check the stability of wormholes. By using the anisotropy parameter, we observed that model-I is attractive in nature and model-II is attractive and repulsive both varying according to the value of r and constant parameters.

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Imprints of dark matter on wormhole geometry in modified teleparallel gravity

Cited by 16 publications

References 55 publications

Confined Klein–Gordon oscillators in Minkowski spacetime and a pseudo-Minkowski spacetime with a space-like dislocation: PDM KG-oscillators, isospectrality and invariance

Confined Klein–Gordon oscillators in Minkowski spacetime and a pseudo-Minkowski spacetime with a space-like dislocation: PDM KG-oscillators, isospectrality and invariance

The noncommutative quantum Hall effect with anomalous magnetic moment in three different relativistic scenarios

New spherically symmetric wormhole solutions in f(Q)-gravity theory

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