Quantum strings and black holes

Details Quantum strings and black holes Quantum strings and black holes

2001-04-25

arxiv.org/abs/gr-qc/0104080v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, plenary talk given at the 9th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental Genera

Scientific paper

The transition between (non supersymmetric) quantum string states and Schwarzschild black holes is discussed. This transition occurs when the string coupling $g^2$ (which determines Newton's constant) increases beyond a certain critical value $g_c^2$. We review a calculation showing that self-gravity causes a typical string state of mass $M$ to shrink, as the string coupling $g^2$ increases, down to a compact string state whose mass, size, entropy and luminosity match (for the critical value $g_c^2 \sim (M \sqrt{\alpha'})^{-1}$) those of a Schwarzschild black hole. This confirms the idea (proposed by several authors) that the entropy of black holes can be accounted for by counting string states. The level spacing of the quantum states of Schwarzschild black holes is expected to be exponentially smaller than their radiative width. This makes it very difficult to conceive (even Gedanken) experiments probing the discreteness of the quantum energy levels of black holes.

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