Results 91 to 100 of about 13,435 (197)
GUP corrected Casimir wormholes with electric charge in f(R,Lm) gravity
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
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The Gauss-Bonnet theorem for $2$-dimensional spacetimes.
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
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A GENERALIZATION OF THE GAUSS-BONNET THEOREM
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)].
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On the Gauss-Bonnet theorem for complete manifolds [PDF]
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
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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
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Analyzing the gravitational lensing and epicyclic oscillations around a regular charged black hole
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
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D'Atri spaces and the total scalar curvature of hemispheres, tubes and cylinders. [PDF]
Csikós B, Elnashar A, Horváth M.
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A Quantum Gauss-Bonnet Theorem
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
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Exotic Lovelock black holes and extended quasitopological electromagnetism
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
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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
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