Study of scalar particles through the Klein-Gordon equation under rainbow gravity effects in Bonnor-Melvin-Lambda space-time
arXiv:2312.07629 · doi:10.1088/1572-9494/ad2e88
Abstract
In our investigation, we explore the quantum dynamics of charge-free scalar particles through the Klein-Gordon equation within the framework of rainbow gravity's, considering the Bonnor-Melvin-Lambda (BML) space-time background. The BML solution is characterized by the magnetic field strength along the axis of symmetry direction which is related with the cosmological constant and the topological parameter of the geometry. The behavior of charge-free scalar particles described by the Klein-Gordon equation is investigated, utilizing two sets of rainbow functions: (i) ,\, and (ii) ,\, . Here with represents the particle's energy, is the Planck's energy, and is the rainbow parameter. We obtain the approximate analytical solutions for the scalar particles and conduct a thorough analysis of the obtained results. Afterwards, we study the quantum dynamics of quantum oscillator fields within this BML space-time, employing the Klein-Gordon oscillator. Here also, we choose the same sets of rainbow functions and obtained approximate eigenvalue solution for the oscillator fields. Notably, we demonstrate that the relativistic approximate energy profiles of charge-free scalar particles and oscillator fields get influenced by the topology of the geometry and the cosmological constant. Furthermore, we show that the energy profiles of scalar particles get modifications by the rainbow parameter and the quantum oscillator fields by both the rainbow parameter and the frequency of oscillation
arXiv comment20 pages; 4 figures; accepted in CTP (http://dx.doi.org/10.1088/1572-9494/ad2e88); arXiv admin note: text overlap with arXiv:2312.06615
References in corpus (63)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
- Potential Sensitivity of Gamma-Ray Burster Observations to Wave Dispersion in Vacuo
- Lorentz invariance with an invariant energy scale
- Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
- Noncommutative Field Theory and Lorentz Violation
- Nonstandard optics from quantum spacetime
- Testable scenario for Relativity with minimum-length
- Generalized Lorentz invariance with an invariant energy scale
- Testing Einstein's special relativity with Fermi's short hard gamma-ray burst GRB090510
- Gravity's Rainbow
- Distance Measurement and Wave Dispersion in a Liouville-String Approach to Quantum Gravity
- Quantization of Point Particles in 2+1 Dimensional Gravity and Space-Time Discreteness
- Relativistic quantum dynamics of a charged particle in cosmic string spacetime in the presence of magnetic field and scalar potential
- Remnant for all Black Objects due to Gravity's Rainbow
- Nonsingular Rainbow Universes
- Charged Dilatonic Black Holes in Gravity's Rainbow
- Relativistic quantum oscillators in the global monopole spacetime
- Absence of Black Holes at LHC due to Gravity's Rainbow
- Modified TOV in gravity's rainbow: properties of neutron stars and dynamical stability conditions
- Topological charged black holes in massive gravity's rainbow and their thermodynamical analysis through various approaches
- Absence of an Effective Horizon for Black Holes in Gravity's Rainbow
- Phenomenology of Doubly Special Relativity
- Lorentz violation from gamma-ray bursts
- Falsifiable predictions from semiclassical quantum gravity
- In-vacuo-dispersion features for GRB neutrinos and photons
- Effects of energy dependent spacetime on geometrical thermodynamics and heat engine of black holes: gravity's rainbow
- Remnants of Black Rings from Gravity's Rainbow
- Rotating effects on the scalar field in the cosmic string spacetime, in the spacetime with space-like dislocation and in the spacetime with a spiral dislocation
- Aharonov-Bohm effect for bound states in relativistic scalar particle systems in a spacetime with a space-like dislocation
- Geodesic Structure of the Schwarzschild Black Hole in Rainbow Gravity
- Relativistic Motions of Spin-Zero Quantum Oscillator Field in a Global Monopole Space-Time with External Potential and AB-effect
- Charging axisymmetric space-times with cosmological constant
- Dirac ocillator in the cosmic string spacetime in the context of gravity's rainbow
- Modified (A)dS Schwarzschild black holes in Rainbow spacetime
- A Lagrangian for DSR Particle and the Role of Noncommutativity
- Quantum dynamics of scalar bosons in a cosmic string background
- Expansion of magnetic neutron stars in an energy (in)dependent spacetime
- Harmonic oscillator in an elastic medium with a spiral dislocation
- The Big Bounce in Rainbow Universe
- Branes in Gravity's Rainbow
- Noninertial effects on the ground state energy of a massive scalar field in the cosmic string spacetime
- Gravitational Collapse in Gravity's Rainbow
- Bonnor-Melvin universe with a cosmological constant
- On the initial singularity problem in rainbow cosmology
- Thermal analysis of photon-like particles in rainbow gravity
- Casimir Effect in the Rainbow Einstein's Universe
- Feshbach-Villars oscillator (FVO) in Kaluza-Klein Theory (KKT)
- Statistical proerties of the two-dimensional Feshbach-illars oscillator (FVO) in the rotating cosmic string
- A geometric approach to confining a Dirac neutral particle in analogous way to a quantum dot
- Effect of rainbow function on the structural properties of dark energy star
- The generalized Klein-Gordon oscillator with position-dependent mass in a particular Gödel-type space-time
- Quantum Rainbow Cosmological Model With Perfect Fluid
- Effect of massive graviton on dark energy star structure
- Klein-Gordon oscillator in a topologically nontrivial space-time
- Dark Energy Star in Gravity's Rainbow
- Stable three-dimensional (un)charged AdS gravastars in gravity's rainbow
- Cosmological magnetic field---the boost-symmetric case
- Relativistic quantum dynamics of spin-0 system of the DKP oscillator in a Gödel-type space-time
- Spin-zero system of DKP equation in the background of a flat class of Gödel-type space-time
- The influence of Aharonov-Casher effect on the generalized Dirac oscillator in the cosmic string space-time
- DKP oscillator in the presence of a spinning cosmic string
- Time delay of light signals in an energy-dependent spacetime metric