Zobrazeno 1 - 10
of 92
pro vyhledávání: '"Weinstein, Gilbert"'
This is the first in a series of two papers to establish the mass-angular momentum inequality for multiple black holes. We study singular harmonic maps from domains of 3-dimensional Euclidean space to the hyperbolic plane having bounded hyperbolic di
Externí odkaz:
http://arxiv.org/abs/2212.14826
We present several new space-periodic solutions of the static vacuum Einstein equations in higher dimensions, both with and without black holes, having Kasner asymptotics. These latter solutions are referred to as gravitational solitons. Further part
Externí odkaz:
http://arxiv.org/abs/2204.08048
Extending recent work in 5 dimensions, we prove the existence and uniqueness of solutions to the reduced Einstein equations for vacuum black holes in $(n+3)$-dimensional spacetimes admitting the isometry group $\mathbb{R}\times U(1)^{n}$, with Kaluza
Externí odkaz:
http://arxiv.org/abs/2203.08325
Publikováno v:
Phys. Rev. D 104, 044063 (2021)
We construct a new set of asymptotically flat, static vacuum solutions to the Einstein equations in dimensions 4 and 5, which may be interpreted as a superposition of positive and negative mass black holes. The resulting spacetimes are axisymmetric i
Externí odkaz:
http://arxiv.org/abs/2105.13260
Publikováno v:
J. High Energy Phys. (2020), no. 12, Art. 2
An affirmative answer is given to a conjecture of Myers concerning the existence of 5-dimensional regular static vacuum solutions that balance an infinite number of black holes, which have Kasner asymptotics. A variety of examples are constructed, ha
Externí odkaz:
http://arxiv.org/abs/2009.01999
Autor:
Weinstein, Gilbert
This paper presents a general existence and uniqueness result for harmonic maps with prescribed singularities into non-positively curved targets, and surveys a number of applications to general relativity. It is based on a talk delivered by the autho
Externí odkaz:
http://arxiv.org/abs/1902.01576
A lower bound for the ADM mass is established in terms of angular momentum, charge, and horizon area in the context of maximal, axisymmetric initial data for the Einstein-Maxwell equations which satisfy the weak energy condition. If, on the horizon,
Externí odkaz:
http://arxiv.org/abs/1902.00501
Publikováno v:
Trans. Amer. Math. Soc., 372 (2019), no. 5, 3237-3256
The topology of the domain of outer communication for 5-dimensional stationary bi-axisymmetric black holes is classified in terms of disc bundles over the 2-sphere and plumbing constructions. In particular we find an algorithmic bijective corresponde
Externí odkaz:
http://arxiv.org/abs/1807.03452
Publikováno v:
PTEP. Prog. Theor. Exp. Phys., 2018, no. 5, 053E01, 13pp
We produce new examples, both explicit and analytical, of bi-axisymmetric stationary vacuum black holes in 5 dimensions. A novel feature of these solutions is that they are asymptotically locally Euclidean in which spatial cross-sections at infinity
Externí odkaz:
http://arxiv.org/abs/1802.02457
Publikováno v:
Comm. Partial Differential Equations, 43 (2018), no. 8, 1205-1241
We study the problem of asymptotically flat bi-axially symmetric stationary solutions of the vacuum Einstein equations in $5$-dimensional spacetime. In this setting, the cross section of any connected component of the event horizon is a prime $3$-man
Externí odkaz:
http://arxiv.org/abs/1711.05229