Zobrazeno 1 - 10
of 313
pro vyhledávání: '"Dunajski, Maciej"'
Autor:
Dunajski, Maciej, Gover, A. Rod
We establish a one-to-one correspondence between K\"ahler metrics in a given conformal class and parallel sections of a certain vector bundle with conformally invariant connection, where the parallel sections satisfy a set of non--linear algebraic co
Externí odkaz:
http://arxiv.org/abs/2409.17347
We determine the frequency ratios $\tau\equiv \omega_z/\omega_{\rho}$ for which the Hamiltonian system with a potential \[ V=\frac{1}{r}+\frac{1}{2}\Big({\omega_{\rho}}^2(x^2+y^2)+{\omega_z}^2 z^2\Big) \] is completely integrable. We relate this resu
Externí odkaz:
http://arxiv.org/abs/2407.11191
Autor:
Dunajski, Maciej, Tod, Paul
Toric Ricci--flat metrics in dimension four correspond to certain holomorphic vector bundles over a twistor space. We construct these bundles explicitly, by exhibiting and characterising their patching matrices, for the five--parameter family of Riem
Externí odkaz:
http://arxiv.org/abs/2405.08170
We construct all axi-symmetric non-gradient $m$-quasi-Einstein structures on a two-sphere. This includes the spatial cross-section of the extreme Kerr black hole horizon corresponding to $m=2$, as well as a family of new regular metrics with $m\neq 2
Externí odkaz:
http://arxiv.org/abs/2403.04117
Autor:
Dunajski, Maciej, Moy, Timothy
In \cite{B3}, Bridgeland defined a geometric structure, named a Joyce structure, conjectured to exist on the space $M$ of stability conditions of a $CY_3$ triangulated category. Given a non-degeneracy assumption, a feature of this structure is a comp
Externí odkaz:
http://arxiv.org/abs/2402.14352
Autor:
Dunajski, Maciej, Lucietti, James
We prove that the intrinsic geometry of compact cross-sections of any vacuum extremal horizon must admit a Killing vector field. If the cross-sections are two-dimensional spheres, this implies that the most general solution is the extremal Kerr horiz
Externí odkaz:
http://arxiv.org/abs/2306.17512
Autor:
Dunajski, Maciej
Publikováno v:
Internat. J. Modern Phys. D32(2023), no.14, Paper No. 2341001
I discuss the impact of the positive cosmological constant on the interplay between the equivalence principle in general relativity, and the rules of quantum mechanics. At the non--relativistic level there is an ambiguity in the definition of a phase
Externí odkaz:
http://arxiv.org/abs/2304.08574