[HTML][HTML] Schrödinger equation on a Dini's surface

AGM Schmidt, ME Pereira - Physics Letters A, 2024 - Elsevier
We formulate the problem of a scalar particle constrained to move along a Dini's surface
using da Costa's thin-layer quantization method. The Schrödinger equation for this problem …

Spin wave optics for gravitational waves lensed by a Kerr black hole

K Kubota, S Arai, H Motohashi, S Mukohyama - Physical Review D, 2024 - APS
Gravitational waves exhibit the unique signature of their spin-2 nature in processes of wave
scattering, due to the interaction between spin and a background spacetime. Since the spin …

Charged massless scalar fields in a charged -metric black hole: Exact solutions, Hawking radiation, and scattering of scalar waves

M Chen, G Tartaglino-Mazzucchelli, YZ Zhang - Physical Review D, 2024 - APS
We study Hawking radiation and wave scattering of charged scalar fields in a charged C-
metric black hole background. The conformally invariant wave equation for charged scalar …

Mapping Schwarzschild, de Sitter and anti-de Sitter spacetimes into flat spacetime systems with Kratzer potentials

MD de Oliveira, AGM Schmidt - Annals of Physics, 2025 - Elsevier
This work investigates a method to map systems with gravitational fields into non-relativistic
flat spacetime ones. Considering a line element of the form ds 2= e 2 f (r) dt 2− e 2 g (r) dr 2 …

Analysis of scalar fields with series convolution

E Baysazan, T Birkandan, İE Ünver - The European Physical Journal C, 2024 - Springer
Wave equations for some curved spacetimes may involve functions that prevent a solution in
a closed form. In some cases, these functions can be eliminated by transformations and the …

The scalar angular Teukolsky equation and its solution for the Taub-NUT spacetime

F Willenborg, D Philipp, C Lämmerzahl - arXiv preprint arXiv:2411.19919, 2024 - arxiv.org
The Taub-NUT spacetime offers many curious insights into the solutions of Einstein's
electrovacuum equation. In the Bonnor interpretation, this spacetime possesses so-called …

[引用][C] Analysis of the three possible event horizons of anti-de Sitter space–time in the Klein–Gordon equation

MD De Oliveira, AGM Schmidt - International Journal of Modern …, 2024 - World Scientific
In this paper, we calculate exactly the solution of Klein–Gordon equation in anti-de Sitter
space–time. Due to spherical symmetry, the angular wave functions are given by spherical …

[引用][C] Scalar and Dirac fields in black hole backgrounds: solutions and applications

M Chen - 2024 - espace.library.uq.edu.au
In this thesis we explore the charged massless scalar and Dirac field coupled with the
charged C-metric black hole background. By solving the master equations governing the …