Summary
Scalar fields bound by their own gravitational field can form absolutely stable boson stars, resembling neutron stars. Within general relativity we construct for the first time the corresponding localized rotating configurations via numerical integration of the coupled Einstein-Klein-Gordon equations. The ratio of conserved angular momentum and particle number turns out to be an integer b, the gravitomagnetic quantum number of our soliton-type stars. The resulting axisymmetric metric, the energy density, and the Tolman mass are completely regular. Moreover, we analyze the differential rotation of such fully relativistic configurations.
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References
Wheeler, J.A. (1955): Geons. Phys. Rev. 97, 511–536
Holz, D.E., Miller, W.A., Wakano, M., Wheeler, J.A. (1994): Coalescence of primal gravity waves to make cosmological mass without matter. In Hu, B.L., Jacobson, T.A. (eds.): Directions in general relativity—Proceedings of the 1993 International Symposium, Maryland (papers in honor of Dieter Brill) ,vol. 2, pp. 339–358. Cambridge University Press, Cambridge
Wheeler, J.A. (1995): The black hole, 25 years later. Preprint Princeton Uni versity
Kaup, D.J. (1968): Klein-Gordon geon. Phys. Rev. 172, 1331–1342
Ruffini, R. and Bonazzola, S. (1969): Systems of self-gravitating particles in general relativity and the concept of an equation of state. Phys. Rev. 187, 1767–1783
Heisenberg, W. (1966): Introduction to the unified field theory of elementary particles. Wiley, London
Mielke, E.W. (1981): Toward exact solutions of the nonlinear Heisenberg-Pauli-Weyl spinor equation. J. Math. Phys. 22, 2034–2039
Mielke, E.W., Scherzer, R. (1981): Geon-type solutions of the nonlinear Heisenberg-Klein-Gordon equation. Phys. Rev. D 24, 2111–2126
Baekler, P., Mielke, E.W., Hecht, R., Hehl, F.W. (1987): Kinky torsion in a Poincaré gauge model of gravity coupled to massless scalar field. Nucl. Phys. B 288, 800–812
Hehl, F.W., McCrea, J.D., Mielke, E.W., Ne’eman, Y. (1995): Metric-affine gauge theory of gravity: Field equations, Noether identities, world spinors, and breaking of dilation invariance. Phys. Rep. 258, 1–171
Colpi, M., Shapiro, S.L., Wasserman, I. (1986): Boson stars: Gravitational equilibria of self-gravitating scalar fields. Phys. Rev. Lett. 57, 2485–2488
Friedberg, R., Lee, T.D., Pang, Y. (1987): Mini-soliton stars. Phys. Rev. D 35, 3640–3657
Friedberg, R., Lee, T.D., Pang, Y. (1987): Scalar soliton stars and black holes. Phys. Rev. D 35, 3658–3677
Lee, T.D., Pang, Y. (1987): Fermion soliton stars and black holes. Phys. Rev. D 35, 3678–3694
Jetzer, Ph. (1992): Boson stars. Phys. Rep. 220, 163–227
Lee, T.D., Pang, Y. (1992): Nontopological solitons. Phys. Rep. 221, 251–350
Straumann, N. (1992): Fermion and boson stars. In Ehlers, J., Schäfer, G. (eds.): Relativistic Gravity Research ,pp. 267–293. Springer, Berlin
Kusmartsev, F.V., Mielke, E.W., Schunck, F.E. (1991): Gravitational stability of boson stars. Phys. Rev. D 43, 3895–3901
Kusmartsev, F.V., Mielke, E.W., Schunck, F.E. (1991): Stability of neutron and boson stars: a new approach based on catastrophe theory. Phys. Lett. B 157, 465–468
Schunck, F.E., Kusmartsev, F.V., Mielke, E.W. (1992): Stability of charged boson stars and catastrophe theory. In d’Inverno, R. (ed.) Approaches to Numerical Relativity ,pp. 130–140. Cambridge University Press, Cambridge
Kusmartsev, F.V., Schunck, F.E. (1992): Analogies and differences between neutron and boson stars studied with catastrophe theory. Physica B 178, 24–34
Seidel, E., Suen, W.-M. (1994): Formation of solitonic stars through gravitational cooling. Phys. Rev. Lett. 72, 2516–2519
Schunck, F.E. (1995): A matter model for dark halos of galaxies. Preprint University of Cologne
Seidel, E., Suen, W.-M. (1990): Dynamical evolution of boson stars: Perturbing the ground state. Phys. Rev. D 42, 384–403
Seidel, E., Suen, W.-M. (1991): Oscillating soliton stars. Phys. Rev. Lett. 66, 1659–1662
Ferrell, R., Gleiser, M. (1989): Gravitational atoms: Gravitational radiation from excited boson stars. Phys. Rev. D 40, 2524–2531
Schunck, F.E., Mielke, E.W. (1995): Radiply rotating relativistic boson stars. Submitted to Phys. Rev. Lett.
Schunck, F.E. (1995): Selbstgravitierende bosonische Materie. PhD thesis, University of Cologne (German)
Friedman, J.L., Ipser, J.R. (1992): Rapidly rotating relativistic stars. Phil. -Trans. R. Soc. (London) A 340, 391–422
Cook, G.B., Shapiro, S.L., Teukolsky, S.A. (1994): Rapidly rotating neutron stars in general relativity: Realistic equations of state. Astrophys. J. 424, 823–845
Eriguchi, Y. (1993): Equilibrium configurations of general relativistic rotating stars. In Chinea, F.J., Gonzáles-Romero, L.M. (eds.): Rotating Objects and Relativistic Physics ,pp. 3–28. Springer, Berlin
Tolman, R.C. (1934): Relativity, thermodynamics, and cosmology. Clarendon Press, Oxford
Schunck, F.E. (1991): Eigenschaften des Bosonensterns. Diploma thesis, University of Cologne (German)
Mashhoon, B. (1974): Can Einstein’s theory of gravitation be tested beyond the geometrical optics limit? Nature 250, 316–317
Winicour, J. (1980): Angular momentum in general relativity. In Held, A. (ed.): General Relativity and Gravitation—One Hundred Years After the Birth of Albert Einstein ,vol. 2, pp. 71–96. Plenum Press, New York
Iyer, V., Wald, R.M. (1994): Some properties of the Noether charge and a proposal for dynamical black hole entropy. Phys. Rev. D 50, 846–864
Tolman, R.C. (1930): On the use of the energy-momentum principle in general relativity. Phys. Rev. 35, 875–895
Penrose, R. (1986): Gravitational mass. In Sato, H., Nakamura T. (eds.): Gravitational Collapse and Relativity ,pp. 43–59. World Scientific, Singapore
Goldman, I. (1990): Baryon number of a uniformly rotating cold star. Phys. Rev. D 42, 3386–3387
Nauenberg, M., Stroud, C., Yeazell, J. (1994): The classical limit of an atom. Scientific American, June issue, p. 24–29
Ertl, T. et al. (1991): Fremde Welten auf dem Grafikschirm—Die Bedeutung der Visualisierung für die Astrophysik. Informationstechnik 33, 91–100 (German)
Thorne, K.S. (1971): Relativistic stars, black holes and gravitational waves. In Sachs, B.K. (ed.): Relativistic Stars, Black Holes and Gravitational Waves. Proceedings of the International School of Physics “Enrico Fermi”, Course XLVII, General Relativity, pp. 237–283. Academic Press, New York
Ames, W.F. (1977): Numerical methods for partial differential equations. Academic Press, New York
Kobayashi, Y., Kasai, M., Futamase, T. (1994): Does a boson star rotate? Phys. Rev. D 50, 7721–7724
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Schunck, F.E., Mielke, E.W. (1996). Rotating Boson Stars. In: Hehl, F.W., Puntigam, R.A., Ruder, H. (eds) Relativity and Scientific Computing. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-95732-1_7
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DOI: https://doi.org/10.1007/978-3-642-95732-1_7
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