2011
DOI: 10.1103/physrevd.83.024008
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Galileon accretion

Abstract: We study steady-state spherically symmetric accretion of a galileon field onto a Schwarzschild black hole in the test fluid approximation. The galileon is assumed to undergo a stage of cosmological evolution, thus setting a non-trivial boundary condition at spatial infinity. The critical flow is found for some parameters of the theory. There is a range of parameters when the critical flow exists, but the solution is unstable. It is also shown that for a certain range of parameters the critical flow solution do… Show more

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Cited by 35 publications
(46 citation statements)
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“…Indeed, in [30], a process of accretion of Galileon onto a static spherically symmetric black hole was studied, where the backreaction of the scalar field on the black hole was neglected -exactly the situation we consider in this subsection, the test approximation. The key difference of the accreting solution in [30] from our solution (4.12) is an integration constant, which vanishes for the solution presented here. As we discussed above, the solution in the test field approximation follows from the (tr) Einstein equation (4.1), which is equivalent to the equation J r = 0.…”
Section: Test Field Limitmentioning
confidence: 99%
“…Indeed, in [30], a process of accretion of Galileon onto a static spherically symmetric black hole was studied, where the backreaction of the scalar field on the black hole was neglected -exactly the situation we consider in this subsection, the test approximation. The key difference of the accreting solution in [30] from our solution (4.12) is an integration constant, which vanishes for the solution presented here. As we discussed above, the solution in the test field approximation follows from the (tr) Einstein equation (4.1), which is equivalent to the equation J r = 0.…”
Section: Test Field Limitmentioning
confidence: 99%
“…The ansatz (6) has been used in a similar context for the study of the Galileon accretion [15] and the effects of cosmologically evolving scalar field on the variation of the Newton constant [10]. Actually, since ' 0 ¼ 0 (where a prime denotes a radial derivative), the notation will not be useful in the following, and we can thus write Eq.…”
Section: Background Solutionmentioning
confidence: 99%
“…The crucial information brought by Eq. (15) is that the spin-2 graviton is never a ghost, and that the effective metric (16) should be of signature À þ þþ for the scalar perturbation to carry positive energy and have a well-posed Cauchy problem. We shall perform this analysis in Secs.…”
Section: Perturbationsmentioning
confidence: 99%
“…(28) for w ¼ 0. Equation (37) can be also derived from the spatial part of the Bianchi identities. It follows that…”
mentioning
confidence: 99%