A wavefunction description for a localized quantum particle in curved spacetimes
Sign Up to like & getrecommendations! Published in 2021 at "Classical and Quantum Gravity"
DOI: 10.1088/1361-6382/ac103d
Abstract: We reduce Dirac’s spinor formalism for a spin 1/2 particle to a complex wavefunction description in curved spacetimes. We consider a localized fermionic particle in curved spacetimes and perform an expansion in terms of the… read more here.
Keywords: curved spacetimes; particle curved; wavefunction description; particle ... See more keywords
Spatially-curved spacetimes in higher–dimensional Klein–Gordon–Rastall theory
Sign Up to like & getrecommendations! Published in 2024 at "Physica Scripta"
DOI: 10.1088/1402-4896/ad5300
Abstract: In this paper, we analyze higher-dimensional gravitational Rastall theory coupled with a scalar field on spatially-curved spacetimes. Particularly, the theory admits baryotropic cosmic fluid and a massless quintessence scalar field whose scalar potential has the… read more here.
Keywords: parameter; higher dimensional; rastall theory; curved spacetimes ... See more keywords
Spherically symmetric curved spacetimes with a continuum of light rings
Sign Up to like & getrecommendations! Published in 2025 at "Journal of Cosmology and Astroparticle Physics"
DOI: 10.1088/1475-7516/2025/06/006
Abstract: Highly curved spacetimes of compact astrophysical objects are known to possess light rings (null circular geodesics) with discrete radii on which massless particles can perform closed circular motions. In the present compact paper, we reveal… read more here.
Keywords: continuum light; symmetric curved; spherically symmetric; spacetimes continuum ... See more keywords
Curved spacetimes with local κ -Poincaré dispersion relation
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review D"
DOI: 10.1103/physrevd.96.084010
Abstract: We use our previously developed identification of dispersion relations with Hamilton functions on phase space to locally implement the $\ensuremath{\kappa}$-Poincar\'e dispersion relation in the momentum spaces at each point of a generic curved spacetime. We… read more here.
Keywords: curved spacetimes; dispersion; dispersion relation; poincar dispersion ... See more keywords
Classical and quantum aspects of electric-magnetic duality rotations in curved spacetimes
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review D"
DOI: 10.1103/physrevd.98.125001
Abstract: It is well known that the source-free Maxwell equations are invariant under electric-magnetic duality rotations, $\mathrm{F}\ensuremath{\rightarrow}\mathrm{F}\mathrm{cos}\ensuremath{\theta}+^{\ensuremath{\star}}\mathrm{F}\mathrm{sin}\ensuremath{\theta}$. These transformations are indeed a symmetry of the theory in the Noether sense. The associated constant of motion is… read more here.
Keywords: curved spacetimes; electric magnetic; electromagnetic field; magnetic duality ... See more keywords
Generalized Planck-Einstein Relation in Curved Spacetimes: Implications for Light Propagation Near Black Holes
Sign Up to like & getrecommendations! Published in 2025 at "Symmetry"
DOI: 10.3390/sym17091419
Abstract: By applying Maxwell’s equations to curved spacetimes, the Planck–Einstein energy–frequency relation for photons, originally formulated in Minkowski space, is generalized for application in Riemann space. According to this relation, photon energy depends not only on… read more here.
Keywords: relation; einstein relation; generalized planck; planck einstein ... See more keywords