New classes of exact multistring solutions in curved spacetimes

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Abstract
We find new classes of exact solutions of the equations describing propagation of a classical string, in a variety of given curved backgrounds. They include stationary and dynamical (open, closed, straight, finitely and infinitely long) strings as well as multistring solutions, in terms of elliptic functions. The physical properties, string length, energy, and pressure are computed and analyzed. In anti–de Sitter spacetime, the solutions describe an infinite number of infinitely long stationary strings of equal energy but different pressures. In de Sitter spacetime, outside the horizon, they describe infinitely many dynamical strings infalling nonradially, scattering at the horizon and going back to spatial infinity in different directions. For special values of the constants of motion, there are families of solutions with selected finite numbers of different and independent strings. In black hole spacetimes (without cosmological constant), no multistring solutions are found. In the Schwarzschild black hole, inside the horizon, we find one straight string infalling nonradially, with indefinitely growing size, into the r=0 singularity. In the 2+1 black hole anti–de Sitter background, the string stops at r=0 with finite length.
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