Results 31 to 40 of about 32,038 (159)
Gravitational Collapse and Singularity Removal in Rastall Theory
Advances in High Energy Physics, Volume 2021, Issue 1, 2021., 2021 In the present work, we study spherically symmetric gravitational collapse of a homogeneous fluid in the framework of Rastall gravity. Considering a nonlinear equation of state (EoS) for the fluid profiles, we search for a class of nonsingular collapse solutions and the possibility of singularity removal. We find that depending on the model parameters,
Ehsan Dorrani, Hooman Moradpour
wiley +1 more source
Lightlike Hypersurfaces in Semi-Riemmanian Manifolds Admitting Affine Conformal Vector Fields
Kragujevac Journal of Mathematics, 2023 Lightlike hypersurfaces with integrable screen distributions are very important as far as lightlike geometry is concerned. They include, among others, screen conformal and screen totally umbilic ones.
S. Ssekajja
semanticscholar +1 more source
Rigidity results for complete spacelike submanifolds in plane fronted waves [PDF]
, 2022 New rigidity results for complete non-compact spacelike submanifolds of arbitrary codimension in plane fronted waves are obtained. Under appropriate assumptions, we prove that a complete spacelike submanifold in these spacetimes is contained in a ...
Palomo, Francisco J. +1 more
core +3 more sources
Dirac operators on lightlike hypersurfaces
, 2020 In this study, we obtain a spinorial Gauss formula for a lightlike hypersurface in Lorentzian manifold with 4-dimension. Then, we take into account the changes caused by degenerate metric on hypersurface and investigate Dirac operator for lightlike hypersurface.
Şekerci, Gülşah Aydin +1 more
openaire +3 more sources
Pseudosymmetric lightlike hypersurfaces
TURKISH JOURNAL OF MATHEMATICS, 2014 We study lightlike hypersurfaces of a semi-Riemannian manifold satisfying pseudosymmetry conditions. We give sufficient conditions for a lightlike hypersurface to be pseudosymmetric and show that there is a close relationship of the pseudosymmetry condition of a lightlike hypersurface and its integrable screen distribution.
Sema KAZAN, Bayram ŞAHİN
openaire +1 more source
Construction of Initial Data Sets for Lorentzian Manifolds with Lightlike Parallel Spinors [PDF]
Communications in Mathematical Physics, 2019 Lorentzian manifolds with parallel spinors are important objects of study in several branches of geometry, analysis and mathematical physics. Their Cauchy problem has recently been discussed by Baum, Leistner and Lischewski, who proved that the problem ...
B. Ammann, Klaus Kroencke, O. Müller
semanticscholar +1 more source
Lightlike hypersurfaces in spaces with concircular fields [PDF]
Arabian Journal of Mathematics, 2021 AbstractLightlike hypersurfaces in semi-Riemannian manifolds admitting concircular vector fields are investigated. We prove that such hypersurfaces are generally products of lightlike curves and warped product manifolds. In special cases, we show that these hypersurfaces are totally geodesic or totally screen geodesic provided such concircular fields ...
openaire +2 more sources
Hypersurfaces in lightlike cone
Journal of Geometry and Physics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Huili, Dal Jung, Seoung
openaire +2 more sources
Strongly minimal complex lightlike hypersurfaces
Hacettepe Journal of Mathematics and Statistics, 2022 In this paper, complex lightlike hypersurfaces of an indefinite Kähler manifold are studied. An optimal inequality characterized to strongly minimality for coisotropic lightlike submanifolds is proved. Strongly minimal Monge-type hypersurfaces in $\mathcal{C}_{1}^{4}$ are examined and some examples of these hypersurfaces are given.
Mehmet GÜLBAHAR, Erol KILIÇ
openaire +2 more sources
Lightlike Hypersurfaces of an Indefinite Kaehler Manifold with an ()-type Connection
Mathematics and Statistics, 2020 Jin [1] defined an ( )-type connection on semi-Riemannian manifolds. Semi-symmetric nonmetric connection and non-metric ∅-symmetric connection are two important examples of this connection such that ( ) = (1; 0) and ( ) = (0; 1), respectively.
Jae Won Lee, D. Jin, Chul Woo Lee
semanticscholar +1 more source