Zobrazeno 1 - 10
of 419
pro vyhledávání: '"83C99"'
Autor:
Canepa, Giovanni
We consider injectivity and surjectivity of some maps on the exterior algebra of isomorphic finite-dimensional vector spaces. We prove the properties of the maps in full generality, for any dimension of the vector space and any subspace. We also draw
Externí odkaz:
http://arxiv.org/abs/2410.17682
Starting from the proof of the $C^0$-inextendibility of Schwarzschild by Sbierski, the past decade has seen renewed interest in showing low-regularity inextendibility for known spacetime models. Specifically, a lot of attention has been paid to FLRW
Externí odkaz:
http://arxiv.org/abs/2409.13799
Autor:
Bulyzhenkov, Igor E.
Relativistic four-acceleration in metrically organized motions can introduce the nonlocal mechanism for the local generation of active and reactive mass densities in the monistic geometrodynamics of correlated matterspace. Four Hilbert variations for
Externí odkaz:
http://arxiv.org/abs/2409.13751
Autor:
McCormick, Stephen
V-static metrics generalise the notion of static metrics, and stem from the work of Miao and Tam [arXiv:0807.2693], and Corvino, Eichmair and Miao [arXiv:1211.6168] on critical points of the volume functional over the space of compact manifolds with
Externí odkaz:
http://arxiv.org/abs/2406.09101
Autor:
Sämann, Clemens
We give a brief non-technical introduction to non-regular spacetime geometry. In particular, we discuss how curvature, and hence gravity, can be defined without a smooth (differential geometric) calculus.
Comment: 19 pages, 3 Figures; invited ar
Comment: 19 pages, 3 Figures; invited ar
Externí odkaz:
http://arxiv.org/abs/2404.18651
Autor:
Takata, Hiroyuki
Publikováno v:
Nucl. Phys. B 1005 (2024) 116599
We have discovered two unconstrained forms of free Lagrangian for continuous spin(CS) theory in arbitrary flat spacetime dimension for bosonic case. These Lagrangians, unlike that by Schuster and Toro, do not include delta functions and are conventio
Externí odkaz:
http://arxiv.org/abs/2404.14118
Autor:
Guerra IV, Arnoldo, Román-Roy, Narciso
In this paper, we define canonical lifts of vector fields to the multisymplectic multimomentum bundles of De Donder-Weyl Hamiltonian first-order field theories and to the appropriate premultisymplectic embedded constraint submanifolds on which singul
Externí odkaz:
http://arxiv.org/abs/2402.07847
Autor:
McCormick, Stephen
This article provides a concise introduction to Bartnik's quasi-local mass, and surveys a selection of results pertaining to the understanding of it. The aim is to serve as both an entry point to the topic, and a quick reference of results for those
Externí odkaz:
http://arxiv.org/abs/2401.05128
Autor:
Gomes, Leandro G.
In this manuscript, we show that three fundamental building blocks are supporting the Cosmological Principle. The first of them states that there is a special frame in the universe where the spatial geometry is intrinsically homogeneous and isotropic
Externí odkaz:
http://arxiv.org/abs/2401.01992
Publikováno v:
Ann. Henri Poincar\'e (2024) 4771-4807
Given an extendible spacetime one may ask how much, if any, uniqueness can in general be expected of the extension. Locally, this question was considered and comprehensively answered in a recent paper of Sbierski, where he obtains local uniqueness re
Externí odkaz:
http://arxiv.org/abs/2307.11034