Zobrazeno 1 - 10
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pro vyhledávání: '"Gregory J. Galloway"'
Autor:
Gregory J. Galloway
Publikováno v:
Perspectives in Scalar Curvature ISBN: 9789811249990
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ab8819229e38a32896b16cc910067656
https://doi.org/10.1142/9789811273230_0013
https://doi.org/10.1142/9789811273230_0013
Publikováno v:
Annales Henri Poincaré. 21:4073-4095
It is well known that the spacetime $\text{AdS}_2\times S^2$ arises as the `near horizon' geometry of the extremal Reisser-Nordstrom solution, and for that reason it has been studied in connection with the AdS/CFT correspondence. Motivated by a conje
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::51ffc8431c0491940006c1796943f5bc
https://doi.org/10.1007/s00023-020-00958-6
https://doi.org/10.1007/s00023-020-00958-6
Autor:
Hyun Chul Jang, Gregory J. Galloway
Publikováno v:
Proceedings of the American Mathematical Society. 148:2617-2629
We present several rigidity results for Riemannian manifolds $(M^n,g)$ with scalar curvature $S \ge -n(n-1)$ (or $S\ge 0$), and having compact boundary $N$ satisfying a related mean curvature inequality. The proofs make use of results on marginally o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::887135d64df59f728f41d7812db03efe
https://doi.org/10.1090/proc/14922
https://doi.org/10.1090/proc/14922
Autor:
Gregory J. Galloway, Eric Ling
Publikováno v:
Developments in Lorentzian Geometry ISBN: 9783031053788
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cba86a4570ad4a7cafa0020df361e3a7
https://doi.org/10.1007/978-3-031-05379-5_6
https://doi.org/10.1007/978-3-031-05379-5_6
Autor:
Gregory J. Galloway, Eric Ling
Publikováno v:
Journal of Mathematical Physics. 63:122501
In this paper we review and extend some results in the literature pertaining to spacetime topology while naturally utilizing properties of the codimension 2 null cut locus. Our results fall into two classes, depending on whether or not one assumes th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::07878bb77d0e6d804270e0926fef8533
https://doi.org/10.1063/5.0101126
https://doi.org/10.1063/5.0101126
Publikováno v:
Classical and Quantum Gravity. 39:195004
Is the universe finite or infinite, and what shape does it have? These fundamental questions, of which relatively little is known, are typically studied within the context of the standard model of cosmology where the universe is assumed to be homogen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::800fb1d7b6a5484c8bc0c18c8f496b7f
https://doi.org/10.1088/1361-6382/ac75e1
https://doi.org/10.1088/1361-6382/ac75e1
We prove positive mass theorems for asymptotically hyperbolic and asymptotically locally hyperbolic Riemannian manifolds with black-hole-type boundaries.
7 pages, 2 figures
7 pages, 2 figures
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f0a1b90a1a31777383ba33b62d0aff3e
http://arxiv.org/abs/2107.05603
http://arxiv.org/abs/2107.05603
The almost splitting theorem of Cheeger-Colding is established in the setting of almost nonnegative generalized $m$-Bakry-\'{E}mery Ricci curvature, in which $m$ is positive and the associated vector field is not necessarily required to be the gradie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::791baaaddb93109299109e175b37f636
http://arxiv.org/abs/2006.11482
http://arxiv.org/abs/2006.11482
Autor:
Eric Ling, Gregory J. Galloway
Publikováno v:
Annales Henri Poincaré. 18:3427-3447
The existence, established over the past number of years and supporting earlier work of Ori (Phys Rev Lett 68(14):2117–2120, 1992), of physically relevant black hole spacetimes that admit $$C^0$$ metric extensions beyond the future Cauchy horizon,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6877b03995558b121b4686cd3959776b
https://doi.org/10.1007/s00023-017-0602-1
https://doi.org/10.1007/s00023-017-0602-1
Autor:
Carlos Vega, Gregory J. Galloway
Publikováno v:
Annales Henri Poincaré. 18:3399-3426
We begin with a basic exploration of the (point-set topological) notion of Hausdorff closed limits in the spacetime setting. Specifically, we show that this notion of limit is well suited to sequences of achronal sets, and use this to generalize the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a638d61f1d7a5b467ceb3e64175b2337
https://doi.org/10.1007/s00023-017-0594-x
https://doi.org/10.1007/s00023-017-0594-x