Generalized Taub-NUT metrics and Killing-Yano tensors

نویسنده

  • Mihai Visinescu
چکیده

A necessary condition that a Stäckel-Killing tensor of valence 2 be the contracted product of a Killing-Yano tensors of valence 2 with itself is re-derived for a Riemannian manifold. This condition is applied to the generalized Euclidean Taub-NUT metrics which admit a Kepler type symmetry. It is shown that in general the Stäckel-Killing tensors involved in the Runge-Lenz vector cannot be expressed as a product of Killing-Yano tensors. The only exception is the original Taub-NUT metric.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Gravitational and axial anomalies for generalized Euclidean Taub-NUT metrics

The gravitational anomalies are investigated for generalized Euclidean Taub-NUT metrics which admit hidden symmetries analogous to the Runge-Lenz vector of the Kepler-type problem. In order to evaluate the axial anomalies, the index of the Dirac operator for these metrics with the APS boundary condition is computed. The role of the Killing-Yano tensors is discussed for these two types of quantu...

متن کامل

Ju l 2 00 1 Non - existence of f - symbols in generalized Taub - NUT spacetimes

In a previous article it was proved that the extensions of the TaubNUT geometry do not admit Killing-Yano tensors, even if they possess Stäckel-Killing tensors. Here the analysis is taken further, and it is shown that, in general, this class of metrics does not even admit fsymbols. The only exception is the original Taub-NUT metric which possesses four Killing-Yano tensors of valence two. 1 Ext...

متن کامل

ar X iv : h ep - t h / 01 05 20 1 v 1 2 1 M ay 2 00 1 Non - existence of f - symbols in generalized Taub - NUT spacetimes

In a previous article it was proved that the extensions of the TaubNUT geometry do not admit Killing-Yano tensors, even if they possess Stäckel-Killing tensors. Here the analysis is taken further, and it is shown that, in general, this class of metrics does not even admit fsymbols. The only exception is the original Taub-NUT metric which possesses four Killing-Yano tensors of valence two. 1 Ext...

متن کامل

Quantum anomalies for generalized Euclidean Taub-NUT metrics

We investigate quantum anomalies for generalized Euclidean TaubNUT metrics which admit hidden symmetries analogous to the RungeLenz vector of the Kepler-type problem. We review results which show that the appearance of gravitational anomalies is connected with the absence of Killing-Yano tensors for these metrics. We have found that for axial anomalies the presence of Killing-Yano tensors is ir...

متن کامل

Fermion on Curved Spaces, Symmetries, and Quantum Anomalies

We review the geodesic motion of pseudo-classical spinning particles in curved spaces. Investigating the generalized Killing equations for spinning spaces, we express the constants of motion in terms of Killing–Yano tensors. Passing from the spinning spaces to the Dirac equation in curved backgrounds we point out the role of the Killing–Yano tensors in the construction of the Dirac-type operato...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2000