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Conformal invariance and apparent universality of semiclassical gravity · Around

2008

Conformal invariance and apparent universality of semiclassical gravity

Garbarz, A., Giribet, G., Mazzitelli, F. D.

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In a recent work, it has been pointed out that certain observables of the massless scalar field theory in a static spherically symmetric background exhibit a universal behavior at large distances.

More precisely, it was shown that, unlike what happens in the case the coupling to the curvature \xi is generic, for the special cases \xi=0 and \xi = 1/6 the large distance behavior of the expectation value <T^{\mu}_{\nu}> turns out to be independent of the internal structure of the gravitational source.
Here, we address a higher dimensional generalization of this result: We first compute the difference between a black hole and a static spherically symmetric star for the observables <\phi^2> and <T^{\mu}_{\nu}> in the far field limit.
Thus, we show that the conformally invariant massless scalar field theory in a static spherically symmetric background exhibits such universality phenomenon in D\geq 4 dimensions.

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