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High Energy Physics - Theory

arXiv:1312.7762 (hep-th)
[Submitted on 30 Dec 2013 (v1), last revised 12 Mar 2014 (this version, v3)]

Title:Stars in M theory (made up of intersecting branes)

Authors:S. Kalyana Rama
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Abstract:We study stars in M theory. First, we obtain the analog of Oppenheimer -- Volkoff equations in a suitably general set up. We obtain analytically the asymptotic solutions to these equations when the equations of state are linear. We study perturbations around such solutions in several examples and, following a standard method, use their behaviour to determine whether an instability is present or not. In this way, we obtain a generalisation of the corresponding results of Chavanis. We also find that stars in M theory have instabilities. Therefore, if sufficiently massive, such stars will collapse. We discuss the significance of these (in)stabilities within the context of Mathur's fuzz ball proposal.
Comments: 40 pages. Version 2: Several minor changes in the text. Version 3: Two paragraphs added and a few minor changes made in section 6. To appear in Physical Review D
Subjects: High Energy Physics - Theory (hep-th); Solar and Stellar Astrophysics (astro-ph.SR); General Relativity and Quantum Cosmology (gr-qc)
Report number: IMSc/2013/12/08
Cite as: arXiv:1312.7762 [hep-th]
  (or arXiv:1312.7762v3 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1312.7762
Journal reference: Physical Review D 89: 084019, 2014
Related DOI: https://doi.org/10.1103/PhysRevD.89.084019

Submission history

From: S. Kalyana Rama [view email]
[v1] Mon, 30 Dec 2013 16:18:58 UTC (28 KB)
[v2] Wed, 8 Jan 2014 07:04:24 UTC (27 KB)
[v3] Wed, 12 Mar 2014 03:47:06 UTC (27 KB)
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