Zobrazeno 1 - 10
of 363
pro vyhledávání: '"Marc Mars"'
Free data at spacelike $${\mathscr {I}}$$ I and characterization of Kerr-de Sitter in all dimensions
Autor:
Marc Mars, Carlos Peón-Nieto
Publikováno v:
European Physical Journal C: Particles and Fields, Vol 81, Iss 10, Pp 1-22 (2021)
Abstract We study the free data in the Fefferman–Graham expansion of asymptotically Einstein $$(n+1)$$ ( n + 1 ) -dimensional metrics with non-zero cosmological constant. We analyze the relation between the electric part of the rescaled Weyl tensor
Externí odkaz:
https://doaj.org/article/f7ba7624c20f414a803726d483bf0a6f
Autor:
Marc Mars, Gabriel Sánchez-Pérez
The characteristic Cauchy problem of the Einstein field equations has been recently addressed from a completely abstract viewpoint by means of hypersurface data and, in particular, via the notion of double null data. However, this definition was give
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::667e79b1c4cf635c8029fd243716442a
http://arxiv.org/abs/2301.02722
http://arxiv.org/abs/2301.02722
Autor:
Marc Mars, Carlos Peón-Nieto
Publikováno v:
Physical Review D. 105
Using asymptotic characterization results of spacetimes at conformal infinity, we prove that Kerr-Schild-de Sitter spacetimes are in one-to-one correspondence with spacetimes in the Kerr-de Sitter-like class with conformally flat $\mathscr{I}$. Kerr-
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dd56b6172b1330b97e9a5fe745cc8677
https://doi.org/10.1103/physrevd.105.044027
https://doi.org/10.1103/physrevd.105.044027
Autor:
Marc Mars, Gabriel Sánchez-Pérez
General hypersurfaces of any causal character can be studied abstractly using the hypersurface data formalism. In the null case, we write down all tangential components of the ambient Ricci tensor in terms of the abstract data. Using this formalism,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f98ed35edc43d48269f7eb76616212d9
Autor:
Miguel Manzano, Marc Mars
Null shells are a useful geometric construction to study the propagation of infinitesimally thin concentrations of massless particles or impulsive waves. After recalling the necessary and sufficient conditions obtained in [28] that allow for the matc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::47bc3e6a77724e2652e337ac37ad3b80
Autor:
Marc Mars, Carlos Peón-Nieto
Publikováno v:
European Physical Journal
European Physical Journal C: Particles and Fields, Vol 81, Iss 10, Pp 1-22 (2021)
European Physical Journal C: Particles and Fields, Vol 81, Iss 10, Pp 1-22 (2021)
We study the free data in the Fefferman-Graham expansion of asymptotically Einstein metrics with non-zero cosmological constant. We prove that if $\mathscr{I}$ is conformally flat, the rescaled Weyl tensor at $\mathscr{I}$ agrees up to a constant wit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a22d9fa8e560c00d98bf39e2af770f55
http://arxiv.org/abs/2105.06881
http://arxiv.org/abs/2105.06881
Autor:
Marc Mars, Carlos Peón-Nieto
We show the existence of families of orthonormal, future directed bases which allow to cast every skew-symmetric endomorphism of $\mathbb{M}^{1,n}$ ($\mathrm{SkewEnd}(\mathbb{M}^{1,n})$) in a single canonical form depending on a minimal number of par
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f689c51a7ebd4e593641e5b8ec22a248
http://arxiv.org/abs/2012.11999
http://arxiv.org/abs/2012.11999
Autor:
Marc Mars
Publikováno v:
Mediterranean Journal of Mathematics. 17
The notions of (metric) hypersurface data were introduced in Mars (Gen Relativ Gravit 45:2175–2221, 2013) as a tool to analyze, from an abstract viewpoint, hypersurfaces of arbitrary signature in pseudo-Riemannian manifolds. In this paper, general
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7aa5c20da2e3ac0a9557807121ca001f
https://doi.org/10.1007/s00009-020-01608-1
https://doi.org/10.1007/s00009-020-01608-1
Autor:
Carlos Peón-Nieto, Marc Mars
We derive a canonical form for skew-symmetric endomorphisms $F$ in Lorentzian vector spaces of dimension three and four which covers all non-trivial cases at once. We analyze its invariance group, as well as the connection of this canonical form with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::931a222cb0f87f731d28342f7b43aa06
http://arxiv.org/abs/2006.10425
http://arxiv.org/abs/2006.10425
Autor:
Miguel Manzano, Marc Mars
Publikováno v:
Classical and Quantum Gravity. 38:155008
Null shells are a useful geometric construction to study the propagation of infinitesimally thin concentrations of massless particles or impulsive waves. In this paper, we determine and study the necessary and sufficient conditions for the matching o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e664ad6ba46b11321cb3bcb16c490ce4
https://doi.org/10.1088/1361-6382/abfd91
https://doi.org/10.1088/1361-6382/abfd91