Summary
In this paper the metric outside a straight global string is derived, with the high-derivative gravitational theory which has a higher correction as compared with Einstein gravitational theory. The effect of accreting matter and the formation of the large-scale structure of the Universe may be very important.
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Yuanfang, J., Peng, C. Gravitational field of a global cosmic string with non-linear Lagrangian. Il Nuovo Cimento B 110, 1391–1396 (1995). https://doi.org/10.1007/BF02849838
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DOI: https://doi.org/10.1007/BF02849838