Spacetime of supermassive U(1)-gauge cosmic strings

Physics

Scientific paper

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Scientific paper

We investigate numerically the spacetime geometry in the presence of an infinitely long, straight, static, U(1)-gauge cosmic string formed during phase transitions at energy scales larger than the grand-unified-theory scale. As the energy scale of symmetry breaking increases, we find that at radial infinity the geometry around a string changes from Minkowskian minus a wedge to an analog of a Kasner spacetime. The geometry transition occurs at Δφ=2π, where the deficit angle Δφ is defined in the sense of comparison with flat spacetime in the absence of the string. Phase transitions producing such supermassive strings should occur before inflation to avoid contradictions with current observations.

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