A simple accretion model of a rotating gas sphere onto a Schwarzschild black hole

@misc{citeulike:553447, abstract = {We construct a simple accretion model of a rotating pressureless gas sphere onto a Schwarzschild black hole. We show how to build analytic solutions in terms of Jacobi elliptic functions. This construction represents a general relativistic generalisation of the Newtonian accretion model first proposed by Ulrich (1976). In exactly the same form as it occurs for the Newtonian case, the flow naturally predicts the existence of an equatorial rotating accretion disc about the hole. However, the radius of the disc increases monotonically without limit as the flow reaches its maximum allowed angular momentum.}, archivePrefix = {arXiv}, author = {Huerta, E. A. and Mendoza, S.}, citeulike-article-id = {553447}, eprint = {gr-qc/0603039}, keywords = {accretion, bh, gr}, month = {Mar}, posted-at = {2006-03-15 21:44:54}, priority = {2}, title = {A simple accretion model of a rotating gas sphere onto a Schwarzschild black hole}, url = {http://arxiv.org/abs/gr-qc/0603039}, year = {2006} }

TY - ELEC ID - citeulike:553447 L3 - citeulike-article-id:553447 N2 - We construct a simple accretion model of a rotating pressureless gas sphere onto a Schwarzschild black hole. We show how to build analytic solutions in terms of Jacobi elliptic functions. This construction represents a general relativistic generalisation of the Newtonian accretion model first proposed by Ulrich (1976). In exactly the same form as it occurs for the Newtonian case, the flow naturally predicts the existence of an equatorial rotating accretion disc about the hole. However, the radius of the disc increases monotonically without limit as the flow reaches its maximum allowed angular momentum. TI - A simple accretion model of a rotating gas sphere onto a Schwarzschild black hole KW - accretion KW - bh KW - gr AU - Huerta, EA AU - Mendoza, S PY - 2006/Mar/12/ UR - http://arxiv.org/abs/gr-qc/0603039 ER -