Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Clemens Sämann"'
Autor:
Tobias Beran, Clemens Sämann
Within the synthetic-geometric framework of Lorentzian (pre-)length spaces developed in Kunzinger and S\"amann (Ann. Glob. Anal. Geom. 54(3):399--447, 2018) we introduce a notion of a hyperbolic angle, an angle between timelike curves and related con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6de03da2a495b44d6b8d392a71a4e6d8
Publikováno v:
Annals of Global Analysis and Geometry
We study the low-regularity (in-)extendibility of spacetimes within the synthetic-geometric framework of Lorentzian length spaces developed in [KS:17]. To this end, we introduce appropriate notions of geodesics and timelike geodesic completeness and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9343bb390098182424349a658b52a05c
http://europepmc.org/articles/PMC6397613
http://europepmc.org/articles/PMC6397613
We generalize the classical junction conditions for constructing impulsive gravitational waves by the Penrose "cut and paste" method. Specifically, we study nonexpanding impulses which propagate in spaces of constant curvature with any value of the c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fb73881f869a825c0167d75d2467a870
We investigate geodesic completeness in the full family of pp-wave or Brinkmann spacetimes in their extended as well as in their impulsive form. This class of geometries contains the recently studied gyratonic pp-waves, modelling the exterior field o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c8eefaca4e2dc4881608657a1a4f2434
http://arxiv.org/abs/1607.01934
http://arxiv.org/abs/1607.01934
We study geodesics in the complete family of expanding impulsive gravitational waves propagating in spaces of constant curvature, that is Minkowski, de Sitter and anti-de Sitter universes. Employing the continuous form of the metric we rigorously pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5bb67cd4b7c01b22b92c87490e6dafe5
Autor:
Roland Steinbauer, Clemens Sämann
Publikováno v:
Journal of Physics: Conference Series. 968:012010
We consider geodesics in both Riemannian and Lorentzian manifolds with metrics of low regularity. We discuss existence of extremal curves for continuous metrics and present several old and new examples that highlight their subtle interrelation with s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1303c37cc087a376f491fddaf24a42e0
https://doi.org/10.1088/1742-6596/968/1/012010
https://doi.org/10.1088/1742-6596/968/1/012010
Autor:
Clemens Sämann
We show that the definition of global hyperbolicity in terms of the compactness of the causal diamonds and non-total imprisonment can be extended to spacetimes with continuous metrics, while retaining all of the equivalences to other notions of globa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::99a5bcb71e73bc24c8530a616b553c5e
http://arxiv.org/abs/1412.2408
http://arxiv.org/abs/1412.2408
Autor:
Clemens Sämann, Roland Steinbauer
Publikováno v:
Journal of Mathematical Physics. 58:112503
We investigate all geodesics in the entire class of nonexpanding impulsive gravitational waves propagating in an (anti-)de Sitter universe using the distributional metric. We extend the regularization approach of part I, [SSLP16] to a full nonlinear
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a5af982889f75524d62d43c3dea1d89b
https://doi.org/10.1063/1.5012077
https://doi.org/10.1063/1.5012077
We study geodesics in the complete family of nonexpanding impulsive gravitational waves propagating in spaces of constant curvature, that is Minkowski, de Sitter and anti-de Sitter universes. Employing the continuous form of the metric we prove exist
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::12142be280ea735555f87fa8b64e214a
Publikováno v:
Classical and Quantum Gravity. 33:115002
We investigate the geodesics in the entire class of nonexpanding impulsive gravitational waves propagating in an (anti-)de Sitter universe using the distributional form of the metric. Employing a 5-dimensional embedding formalism and a general regula
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3eb0add68858b90303b3da1f133f593c
https://doi.org/10.1088/0264-9381/33/11/115002
https://doi.org/10.1088/0264-9381/33/11/115002