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Semiclassical back reaction in the formation of a straight cosmic string
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We derive the back reaction on the gravitational field of a straight cosmic string during its formation due to the gravitational coupling of the string to quantum matter fields. A very simple model of string formation is considered. The gravitational field of the string is computed in the linear approximation. The vacuum expectation value of the stress tensor of a massless scalar quantum field coupled to the string gravitational field is computed to one loop order. Finally, the back-reaction effect is obtained by solving perturbatively the semiclassical Einsteins equations.
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CAMPOS, Antonio, MARTÍN MENÉNDEZ, Rosario and VERDAGUER OMS, Enric. Semiclassical back reaction in the formation of a straight cosmic string. Physical Review D. 1995. Vol. 52, num. 8, pags. 4319-4336. ISSN 0556-2821. [consulted: 8 of June of 2026]. Available at: https://hdl.handle.net/2445/12306