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Stationary Spinning Strings and Symmetries of Classical Spacetimes · Around

2009

Stationary Spinning Strings and Symmetries of Classical Spacetimes

Ahmedov, Haji, Aliev, Alikram N.

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We explore the symmetries of classical stationary spacetimes in terms of the dynamics of a spinning string described by a worldsheet supersymmetric action.

We show that for stationary configurations of the string, the action reduces to that for a pseudo-classical spinning point particle in an effective space, which is a conformally scaled quotient space of the original spacetime.
As an example, we consider the stationary spinning string in the Kerr-Newman spacetime, whose motion is equivalent to that of the spinning point particle in the three-dimensional effective space.
We present the Killing tensor as well as the spin-valued Killing vector of this space.

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