arXiv subjects

Mitsuharu Hasegawa

Publications and source records attributed to Mitsuharu Hasegawa.

2 recordsLinked to original sources

arXiv2018

Note on orbit space of G membranes

The motion of test membranes on which the group $G$ of isometries of a spacetime $M$ acts has been considered in general settings. It has been shown that the configuration of Nambu-Goto membranes is described by the Nambu-Goto membranes in the quotient manifold $M/G$ with an appropriate projected metric if (i) $G$ is Abelian, (ii) $G$ is semisimple and compact, or (iii) the orthogonal distribution of the orbit of $G$ is integrable, but in general not. It has also been shown that a similar result holds when the membranes couple with scalar maps or differential form fields.

gr-qc↗

arXiv2018

Instability of stationary closed strings winding around flat torus in five-dimensional Schwarzschild spacetimes

Linear perturbations for a one parameter family of stationary, closed Nambu-Goto strings winding around a flat torus in the five-dimensional Schwarzschild spacetime have been studied. It has been shown that this problem is solvable in the sense that frequency spectra and perturbation modes can be expressed only with arithmetic operations and radicals. It has been proven that the Nambu-Goto strings belonging to this family are always unstable, no matter how they are located at almost flat region distant from the event horizon.

gr-qc↗