Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Kentaro Tomoda"'
Autor:
Kentaro, Tomoda
Publikováno v:
放送大学文化科学研究 = The OUJ Journal of Arts and Sciences. 1:66-74
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=jairo_______::7c047c81623a25b42b751798b5a3e8ba
http://id.nii.ac.jp/1146/00008627/
http://id.nii.ac.jp/1146/00008627/
Autor:
Kentaro Tomoda, Masato Nozawa
We obtain all the three-dimensional Lorentzian metrics which admit three Killing vectors. The classification has been done with the aid of the formalism which exploits the obstruction criteria for the Killing equations recently developed by present a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a14ea6d9c3d743d6d63a1caff1f966d
Autor:
Kentaro Tomoda, Boris Kruglikov
A three-dimensional Riemannian manifold has locally 6, 4, 3, 2, 1 or none independent Killing vectors. We present an explicit algorithm for computing dimension of the infinitesimal isometry algebra. It branches according to the values of curvature in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::76880d91c030b55db9e5ca02f40791fc
Autor:
Masato Nozawa, Kentaro Tomoda
Publikováno v:
Classical and Quantum Gravity. 36:155005
We devise an algorithm which allows one to count the number of Killing vectors for a Lorentzian manifold of dimension 3. Our algorithm relies on the principal traces of powers of the Ricci tensor and branches intricately according to the values of di
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::19cfaa93b05fa3989863d2bb14700ba5
https://doi.org/10.1088/1361-6382/ab2da7
https://doi.org/10.1088/1361-6382/ab2da7
Publikováno v:
Classical and Quantum Gravity. 35:075014
Killing tensor fields have been thought of as describing hidden symmetry of space(-time) since they are in one-to-one correspondence with polynomial first integrals of geodesic equations. Many problems in classical mechanics can be formulated as geod
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5459ff51d481ebdfff17bdb6b4ce603a
https://doi.org/10.1088/1361-6382/aaa4e7
https://doi.org/10.1088/1361-6382/aaa4e7
Tensor generalizations of affine vector fields called symmetric and antisymmetric affine tensor fields are discussed as symmetry of spacetimes. We review the properties of the symmetric ones, which have been studied in earlier works, and investigate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5eb686e924eed9a29ede972a3d230eb2
http://arxiv.org/abs/1510.03538
http://arxiv.org/abs/1510.03538
We investigate an anisotropic model of superconductors in the Einstein-Maxwell-dilaton theory with a charged scalar field. It is found that the critical temperature decreases as the anisotropy becomes large. We then estimate the energy gap of the sup
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a79bd88a6dc1c4996092dde9efd4617
Publikováno v:
Classical and Quantum Gravity. 33:195003
We discuss novel generalisations of Killing tensors, which are introduced by considering rational first integrals of geodesic equations. We introduce the notion of inconstructible generalised Killing tensors, which cannot be constructed from ordinary
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a5dcbba144a977ad569410ed45a5ae5b
https://doi.org/10.1088/0264-9381/33/19/195003
https://doi.org/10.1088/0264-9381/33/19/195003
Publikováno v:
Journal of Mathematical Physics; 2016, Vol. 57 Issue 2, p1-9, 9p
Autor:
Masato Nozawa, Kentaro Tomoda
Publikováno v:
Classical & Quantum Gravity; 4/23/2020, Vol. 37 Issue 8, p1-1, 1p