Results 101 to 110 of about 58,187 (222)
Abstract We prove that (under appropriate orientation assumptions), the action of a Hamiltonian homeomorphism ϕ$\phi$ on the cohomology of a relatively exact Lagrangian fixed by ϕ$\phi$ is the identity. This extends results of Hu–Lalonde–Leclercq [Geom. Topol. 15 (2011), no. 3, 1617–1650] and the author [Selecta Math. (N.S.) 30 (2024), no. 2, Paper No.
Noah Porcelli
wiley +1 more source
Curvature analysis of concircular trajectories in doubly warped product manifolds
The aim of this research paper was to explore the various characteristics of the doubly warped product manifold, focusing particularly on aspects such as the Hessian, Riemannian curvature, Ricci curvature, and concircular curvature tensor components.
Fahad Sikander +3 more
doaj +1 more source
One‐dimensional Carrollian fluids II: C1$C^1$ blow‐up criteria
Abstract The Carrollian fluid equations arise from the equations for relativistic fluids in the limit as the speed of light vanishes, and have recently experienced a surge of interest in the theoretical physics community in the context of asymptotic symmetries and flat‐space holography.
Nikolaos Athanasiou +3 more
wiley +1 more source
The Hall Effects of Vortex Light in Optical Materials
This article models optical materials as curved spacetime to investigate light propagation, finding that the deflection angle for light with spin σ and intrinsic orbital angular momentum ℓ follows ϑ ∝ 2σ + ℓ$\vartheta \propto 2 \text{&sgr; } + ℓ$.
Wei‐Si Qiu +3 more
wiley +1 more source
Modified Gauss–Bonnet gravity with radiating fluids
The main purpose of this paper is to discuss structure scalars in the context of $$f(\mathcal {G}, T)$$ f(G,T) gravity, where $$\mathcal {G}$$ G is the Gauss–Bonnet invariant and T is the trace of stress energy tensor.
M. Farasat Shamir, M. Awais Sadiq
doaj +1 more source
Scalar induced gravitational waves in chiral scalar–tensor theory of gravity
We study the scalar induced gravitational waves (SIGWs) from a chiral scalar–tensor theory of gravity. The parity-violating (PV) Lagrangian contains the Chern–Simons (CS) term and PV scalar–tensor terms, which are built of the quadratic Riemann tensor ...
Jia-Xi Feng, Fengge Zhang, Xian Gao
doaj +1 more source
Test-field limit of metric nonlinear gravity theories
In the framework of alternative metric gravity theories, it has been shown by several authors that a generic Lagrangian depending on the Riemann tensor describes a theory with 8 degrees of freedom (which reduce to 3 for f(R) Lagrangians depending only on
Guido Magnano +2 more
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Classification of generalised higher-order Einstein-Maxwell Lagrangians
We classify all higher-order generalised Einstein-Maxwell Lagrangians that include terms linear in the curvature tensor and quadratic in the derivatives of the electromagnetic field strength tensor.
Aimeric Colléaux +2 more
doaj +1 more source
Black holes in presence of cosmological constant: second order in 1 D $$ \frac{1}{D} $$
We have extended the results of [1] upto second subleading order in an expansion around large dimension D. Unlike the previous case, there are non-trivial metric corrections at this order.
Sayantani Bhattacharyya +2 more
doaj +1 more source
Bochner Laplacian and Bergman kernel expansion of semi-positive line bundles on a Riemann surface
We generalize the results of Montgomery for the Bochner Laplacian on high tensor powers of a line bundle. When specialized to Riemann surfaces, this leads to the Bergman kernel expansion and geometric quantization results for semi-positive line bundles ...
Marinescu, George, Savale, Nikhil
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