A Note on Classical Solution of Chaplygin-gas as D-brane

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  • 31 March 2000
Abstract
The classical solution of bosonic d-brane (object extended in d-spatial dimension) in d+1 dimensional space with Light-cone gauge, which we call the theory of Chaplygin gas, is discussed. Static equation of motion is equivalent to the vanishing of extrinsic mean curvature, which is similar to the Einstein equation in vacuum. We consider the classical solution geometrically. The d-brane problem in this gauge is closely related to Plateau problem, and we show the existence of some non trivial solutions as minimal surfaces. We show the theory of d-brane is essentialy the relativistic extension of Plateau problem in Cartesian gauge. In addition we discuss on the relation to Hamiltonian-BRST formalism for d-brane.

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