Geometries and Topologies of Conformally Flat Riemannian Manifolds
Sign Up to like & getrecommendations! Published in 2020 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-020-00352-2
Abstract: The present paper investigates vanishing and finiteness theorems for $$L^{2{\mathcal {B}}}$$ L 2 B harmonic 1-forms on a locally conformally flat Riemannian manifold with a Schrödinger operator $${\mathcal {L}}=\varDelta +\frac{|R|}{\sqrt{n}}$$ L = Δ + |… read more here.
Keywords: geometries topologies; topologies conformally; riemannian manifolds; conformally flat ... See more keywords
Non-static conformally flat spherically symmetric space-times in Einstein–Cartan theory
Sign Up to like & getrecommendations! Published in 2019 at "Chinese Journal of Physics"
DOI: 10.1016/j.cjph.2019.03.010
Abstract: Abstract By exploiting the null tetrad formalism of Jogia and Griffiths and the technique of differential forms on a non-Riemannian space-time, non-static conformally flat, Petrov-type D, spherically symmetric solutions of the Einstein–Cartan field equations; when… read more here.
Keywords: spherically symmetric; conformally flat; einstein cartan; non static ... See more keywords
Conformally flat hypersurfaces with constant scalar curvature
Sign Up to like & getrecommendations! Published in 2018 at "Differential Geometry and its Applications"
DOI: 10.1016/j.difgeo.2018.08.002
Abstract: Abstract We classify the conformally flat hypersurfaces f : M 3 → R 4 with three distinct principal curvatures and constant scalar curvature. read more here.
Keywords: constant scalar; hypersurfaces constant; conformally flat; scalar curvature ... See more keywords
CFT in conformally flat spacetimes
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review D"
DOI: 10.1103/physrevd.101.125009
Abstract: A new class of conformal field theories is presented, where the background gravitational field is conformally flat. Conformally flat (CF) spacetimes enjoy conformal properties quite similar to the ones of flat spacetime. The conformal isometry… read more here.
Keywords: flat spacetimes; conformally flat; cft conformally; distance ... See more keywords
A note on quantum fields in conformally flat spacetimes
Sign Up to like & getrecommendations! Published in 2019 at "Modern Physics Letters A"
DOI: 10.1142/s0217732319503486
Abstract: We develop a technique relating scalar fields with different masses in different conformally flat spacetimes. We apply this technique to the case of FRW spacetimes, with [Formula: see text], and discuss several examples. We also… read more here.
Keywords: flat spacetimes; conformally flat; fields conformally; note quantum ... See more keywords
An important class of conformally flat weak Einstein cubic (α,β)-metrics
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Geometric Methods in Modern Physics"
DOI: 10.1142/s0219887819501135
Abstract: The theory of cubic metrics plays an important role in the theory of space-time structure, gravitation and unified gauge field theories. In this paper, we study conformally flat weak Einstein cubic [Formula: see text]-metrics. We… read more here.
Keywords: conformally flat; einstein cubic; weak einstein; flat weak ... See more keywords
Conformally flat traveling plane wave solutions of Einstein equations
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Geometric Methods in Modern Physics"
DOI: 10.1142/s0219887820500152
Abstract: We discuss conformally flat plane wave solutions of Einstein equations depending on the plane wave phase [Formula: see text], where [Formula: see text] is the conformal time. We show that ideal fluid Einstein equations and… read more here.
Keywords: plane; einstein equations; conformally flat; plane wave ... See more keywords
Non-existence of conformally flat real hypersurfaces in both the complex quadric and the complex hyperbolic quadric
Sign Up to like & getrecommendations! Published in 2021 at "Canadian Mathematical Bulletin"
DOI: 10.4153/s0008439521000084
Abstract: Abstract In this paper, by applying for a new approach of the so-called Tsinghua principle, we prove the nonexistence of locally conformally flat real hypersurfaces in both the m-dimensional complex quadric $Q^m$ and the complex… read more here.
Keywords: conformally flat; real hypersurfaces; quadric; complex quadric ... See more keywords