Results 91 to 100 of about 13,435 (197)

GUP corrected Casimir wormholes with electric charge in f(R,Lm) gravity

open access: yesPhysics Letters B
In this letter, we study and investigate the effects of the Generalized Uncertainty Principle (GUP) and electric charge on Casimir wormhole geometry in the Curvature-Lagrangian coupled f(R,Lm) gravity.
Mohammed Muzakkir Rizwan   +2 more
doaj   +1 more source

The Gauss-Bonnet theorem for $2$-dimensional spacetimes.

open access: yesMichigan Mathematical Journal, 1984
Obwohl der Satz von Gauß-Bonnet bereits für pseudo-Riemannsche Mannigfaltigkeiten höherer Dimension formuliert worden ist, bringt die vorliegende Arbeit wichtige Einsichten für den zweidimensionalen Fall: Hier läßt sich ein Winkel zwischen zeitartigen Vektoren durch die Lorentz-Transformation erklären, die die beiden Richtungen ineinander überführt ...
Birman, Graciela S., Nomizu, Katsumi
openaire   +3 more sources

A GENERALIZATION OF THE GAUSS-BONNET THEOREM

open access: yesCommunications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1986
W. Blaschke hatte den Steinerpunkt der ebenen Kinematik in die sphärische Kinematik übertragen und dort den Steinervektor eingeführt [vgl. \textit{W. Blaschke}, Zur Bewegungsgeometrie auf der Kugel, Sitzungsber. Heidelb. Akad. Wiss., Math.-Naturwiss. Kl., 1948, No.2, 9 S. (1948; Zbl 0032.121)].
openaire   +3 more sources

On the Gauss-Bonnet theorem for complete manifolds [PDF]

open access: yesTransactions of the American Mathematical Society, 1985
The author considers complete Riemannian manifolds diffeomorphic to the interior of a compact manifold with boundary, calling them manifolds of finite topological type. For some classes of such manifolds, the Gauss- Bonnet-theorem is shown to be true, i.e. the Euler characteristic equals the integral of the Gauss-Bonnet-Chern-form. The main assumptions
openaire   +2 more sources

Traversable wormholes in minimally geometrical deformed trace-free gravity using gravitational decoupling

open access: yesNuclear Physics B
In this work, we investigate wormhole solutions through the utilization of gravitational decoupling, employing the Minimal Geometric Deformation (MGD) procedure within the framework of Trace-Free Gravity.
Piyachat Panyasiripan   +3 more
doaj   +1 more source

Analyzing the gravitational lensing and epicyclic oscillations around a regular charged black hole

open access: yesNuclear Physics B
The paper provides an analysis of gravitational weak lensing, Einstein rings, and fundamental frequencies within the context of the regular charged black hole. In this paper we deal with two regular charged black hole geometries.
Farzan Mushtaq   +4 more
doaj   +1 more source

A Quantum Gauss-Bonnet Theorem

open access: yes, 2015
In their paper "Integrating curvature: From Umlaufsatz to J+ invariant" Lanzat and Polyak introduced a polynomial invariant of generic curves in the plane as a quantization of Hopf's Umlaufsatz, and showed that Arnold's J+ invariant could be derived from their polynomial, leading to an integral formula for J+. Here we extend their invariant to the case
openaire   +2 more sources

Exotic Lovelock black holes and extended quasitopological electromagnetism

open access: yesEuropean Physical Journal C: Particles and Fields
The generalization of Birkhoff’s theorem for higher dimensions in Lovelock gravity permits us to investigate the black hole solutions with horizon geometries of nonconstant curvature.
Askar Ali, Khalid Saifullah
doaj   +1 more source

Weak Deflection Angle by the Einstein–Cartan Traversable Wormhole Using Gauss–Bonnet Theorem with Time Delay

open access: yesUniverse
In this article, we estimate the gravitational deflection angles of light in the spacetime of Einstein–Cartan wormholes supported by normal matter or phantom energy utilizing the Gauss–Bonnet theorem.
Susmita Sarkar   +3 more
doaj   +1 more source

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