Physics
Scientific paper
Aug 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999cqgra..16.2797w&link_type=abstract
Classical and Quantum Gravity, Volume 16, Issue 8, pp. 2797-2813 (1999).
Physics
10
Scientific paper
We study boson stars in Brans-Dicke (BD) gravity and use them to illustrate some of the properties of three different mass definitions: the Schwarzschild mass, the Keplerian mass and the tensor mass. We analyse the weak-field limit of the solutions and show that only the tensor mass leads to a physically reasonable definition of the binding energy. We examine numerically strong-field icons/Journals/Common/omega" ALT="omega" ALIGN="TOP"/> = -1 solutions and show how, in this extreme case, the three mass values and the conserved particle number behave as a function of the central boson field amplitude. The numerical studies imply that for icons/Journals/Common/omega" ALT="omega" ALIGN="TOP"/> = -1, solutions with extremal tensor mass also have extremal particle number. This is a property that a physically reasonable definition of the mass of a boson star must have, and we prove analytically that this is true for all values of icons/Journals/Common/omega" ALT="omega" ALIGN="TOP"/>. The analysis supports the conjecture that the tensor mass uniquely describes the total energy of an asymptotically flat solution in BD gravity.
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