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The Newman-Penrose formalism is used to deal with the quasinormal modes(QNM's) of Rarita-Schwinger perturbations outside a Reissner-Nordstr\"{o}m black hole. We obtain four kinds of possible expressions of effective potentials, which are…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Fu-Wen Shu , You-Gen Shen

Non-Hermitian Hamiltonians are relevant to describe the features of a broad class of physical phenomena, ranging from photonics and atomic and molecular systems to nuclear physics and mesoscopic electronic systems. An important question…

Mesoscale and Nanoscale Physics · Physics 2021-04-21 Ygor Pará , Giandomenico Palumbo , Tommaso Macrì

The Newman-Penrose formalism is used to deal with the massless scalar, neutrino, electromagnetic, gravitino and gravitational quasinormal modes (QNMs) in Schwarzschild black holes in a united form. The quasinormal mode frequencies evaluated…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Fu-Wen Shu , You-Gen Shen

We study a complex Dirac field in the chiral representation minimally coupled to gravity in 3+1 dimensions in the context of Einstein-Cartan theory. Generically the matter content gravitates in two different ways: On the one hand, the…

General Relativity and Quantum Cosmology · Physics 2015-03-12 Adolfo Toloza

We study the quasinormal spectrum of a massive test scalar field in the exact asymptotically flat regular black-hole geometry supported by a phantom Dirac--Born--Infeld scalar. Using high-order WKB approximation improved by Pad\'e…

General Relativity and Quantum Cosmology · Physics 2026-04-29 Milena Skvortsova

We consider free Dirac fermions on a discretized $AdS_2$ black hole background, and analyze how curved space redshift, horizons, and the spin connection induced chiral gravitational effect shape spectral, transport, and scrambling…

Quantum Physics · Physics 2026-02-02 Kazuki Ikeda , Yaron Oz

Inspired by the quark-antiquark confinement potential, Mazharimousavi et al. \cite{Mazharimousavi:2023okd} proposed a nonlinear electrodynamics (NED) model, and based on this model, they constructed a charged black hole solution that…

General Relativity and Quantum Cosmology · Physics 2025-04-18 Jie Liang , Dong Liu , Zheng-Wen Long

We compute the quasinormal modes of massive scalar and Dirac fields within the framework of asymptotically de Sitter black holes in Euler-Heisenberg non-linear electrodynamics. We pay particular attention to the regime $\mu M/m_{P}^2 \gg…

General Relativity and Quantum Cosmology · Physics 2024-10-15 S. V. Bolokhov

We investigate gravitational quasinormal modes of the Dymnikova black hole, a regular spacetime in which the central singularity is replaced by a de Sitter core. This geometry, originally proposed as a phenomenological model, also arises…

General Relativity and Quantum Cosmology · Physics 2026-01-27 Bekir Can Lütfüoğlu , Erdinç Ulaş Saka , Abubakir Shermatov , Inomjon Ibragimov , Javlon Rayimbaev , Sokhibjan Muminov

In this paper we will investigate the effects of a noncommutative (NC) space-time on the dynamics of the universe. We will generalize the black hole entropy formula for a NC black hole. Then, using the entropic gravity formalism, we will…

General Relativity and Quantum Cosmology · Physics 2016-10-06 Rafael C. Nunes , Hooman Moradpour , Edésio M. Barboza , Everton M. C. Abreu , Jorge Ananias Neto

It has recently been pointed out that under certain circumstances the back-reaction of charged, massive Dirac fermions causes important modifications to AdS_2 spacetimes arising as the near horizon geometry of extremal black holes. In a WKB…

High Energy Physics - Theory · Physics 2011-01-03 Ling-Yan Hung , Dileep P. Jatkar , Aninda Sinha

Fermions scattering on a black hole background cannot develop an instability sourced by superradiance. However, in a global (or planar) AdS$_4$-Reissner-Nordstr\"om background fermions can violate the AdS$_2$ fermionic mass stability bound…

High Energy Physics - Theory · Physics 2020-05-20 Oscar J. C. Dias , Ramon Masachs , Olga Papadoulaki , Paul Rodgers

In this paper we construct a non-commutative geometry over a configuration space of gauge connections and show that it gives rise to a candidate for an interacting, non-perturbative quantum gauge theory coupled to a fermionic field on a…

High Energy Physics - Theory · Physics 2022-01-25 Johannes Aastrup , Jesper M. Grimstrup

This thesis explores the application of differential geometric and general relativistic techniques to deepen our understanding of quantum mechanical systems. We focus on three systems, employing these mathematical frameworks to uncover…

High Energy Physics - Theory · Physics 2025-02-19 Aonghus Hunter-McCabe , Brian P. Dolan , Peter Coles

We study quasinormal modes of massless scalar and fermion fields in the near extremal Reissner-Nordstr{\"o}m black hole, and relate them to Choptuik scaling form following a recently proposed analytic approach. For both massless cases,…

High Energy Physics - Theory · Physics 2009-11-07 Won Tae Kim , John J. Oh

The Dirac Hamiltonian formalism is applied to a system in $(2+1)$-dimensions consisting of a Dirac field $\psi$ minimally coupled to Chern-Simons $U(1)$ and $SO(2,1)$ connections, $A$ and $\omega$, respectively. This theory is connected to…

High Energy Physics - Theory · Physics 2016-08-22 Alfredo Guevara , Pablo Pais , Jorge Zanelli

A comprehensive investigation of nonradial oscillations in neutron star (NS) admixed with gravitationally bounded dark matter (DM) is carried out within the framework of full general relativity. The relativistic mean field (RMF) formalism…

Nuclear Theory · Physics 2025-11-05 Pinku Routaray

Regular black holes and black-bounce spacetimes frequently emerge in theoretical frameworks beyond general relativity, as well as in general relativity coupled to non-linear sources. A profound complication in these frameworks is source…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Hao Yang , Chen Lan

We will consider the torsional completion of gravity for a background filled with Dirac matter fields, studying the weak-gravitational non-relativistic approximation, in view of an assessment about their effective phenomenology: we discuss…

General Relativity and Quantum Cosmology · Physics 2014-09-03 Luca Fabbri

In this paper, we investigate the emergence of non-Hermitian phase transitions on a quantum wormhole surface. We consider a single fermion whose dynamics are governed by the Dirac equation confined to move on a quantum wormhole surface. The…

General Relativity and Quantum Cosmology · Physics 2025-04-25 José A. S. Lourenço , Ygor Pará , J. Furtado