Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Yafet Sanchez Sanchez"'
Autor:
Yafet Sanchez Sanchez, Elmar Schrohe
Ground states are a well-known class of Hadamard states in smooth spacetimes. In this paper, we show that the ground state of the Klein–Gordon field in a non-smooth ultrastatic spacetime is an adiabatic state. The order of the state depends linearl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::13e1eaeb8a520d19cf3d16f20d62bd27
Publikováno v:
Classical and quantum gravity
In this paper we develop the mathematics required in order to provide a description of the observables for quantum fields on low-regularity spacetimes. In particular we consider the case of a massless scalar field $\phi$ on a globally hyperbolic spac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6be4175046205617551282bfc9a47c05
https://eprints.soton.ac.uk/443217/
https://eprints.soton.ac.uk/443217/
Publikováno v:
Revista Mexicana de Física. 64:429-438
The b-boundary is a mathematical tool used to attach a topological boundary to incomplete Lorentzian manifolds using a Riemaniann metric called the Schmidt metric on the frame bundle. In this paper we give the general form of the Schmidt metric in th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e1eb01d6d8f92be3a7f20362a376ebbd
https://doi.org/10.31349/revmexfis.64.429
https://doi.org/10.31349/revmexfis.64.429
Publikováno v:
Journal of Physics: Conference Series. 968:012011
In this paper we define and construct advanced and retarded Green operators for the wave operator on spacetimes with low regularity. In order to do so we require that the spacetime satisfies the condition of generalised hyperbolicity which is equival
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b6fcb0ed558b74662d5ce80d3170d037
https://doi.org/10.1088/1742-6596/968/1/012011
https://doi.org/10.1088/1742-6596/968/1/012011
Autor:
Yafet Sanchez Sanchez
Publikováno v:
General Relativity and Gravitation. 47
The idea of defining a gravitational singularity as an obstruction to the dynamical evolution of a test field (described by a PDE) rather than the dynamical evolution of a particle (described by a geodesics) is explored. In particular, the concept of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a91ed6bd03a7acb170da240bec159b85
https://doi.org/10.1007/s10714-015-1922-4
https://doi.org/10.1007/s10714-015-1922-4
Publikováno v:
Journal of Mathematical Physics. 58:022502
In this paper, we obtain general conditions under which the wave equation is well-posed in spacetimes with metrics of Lipschitz regularity. In particular, the results can be applied to spacetimes where there is a loss of regularity on a hypersurface
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca76d12c745b9ecd1a3341851a4ea2b9
https://doi.org/10.1063/1.4975216
https://doi.org/10.1063/1.4975216
Publikováno v:
Classical and Quantum Gravity. 33:205002
In this paper we present well-posedness results of the wave equation in $H^{1}$ for spacetimes that contain string-like singularities. These results extend a framework able to characterise gravitational singularities as obstruction to the dynamics of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d9149c6b312cdff9a44cb76d53b3482
https://doi.org/10.1088/0264-9381/33/20/205002
https://doi.org/10.1088/0264-9381/33/20/205002
Autor:
Yafet Sanchez Sanchez, James Vickers
Publikováno v:
Journal of Physics: Conference Series; 2018, Vol. 968 Issue 1, p1-1, 1p
Autor:
Yafet Sanchez Sanchez, James A Vickers
Publikováno v:
Classical & Quantum Gravity; 10/20/2016, Vol. 33 Issue 20, p1-1, 1p