Stars in M theory (made up of intersecting branes)

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.

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

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• LQ Stars : Modifying the Tolman -- Oppenheimer -- Volkoff equations a la LQC
• A study of neutron stars in $D\ge 4$ dimensions
• On the Stability of (M theory) Stars against Collapse : Role of Anisotropic Pressures
• Implication of U-duality for black branes in M/string theory