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Black hole solutions in R 2 gravity

Kounnas, Costas
Lüst, Dieter
Published in Journal of High Energy Physics. 2015, vol. 1505, p. 143-163
Collection Open Access - SCOAP3
Abstract We find static spherically symmetric solutions of scale invariant R 2 gravity. The latter has been shown to be equivalent to General Relativity with a positive cosmological constant and a scalar mode. Therefore, one expects that solutions of the R 2 theory will be identical to that of Einstein theory. Indeed, we find that the solutions of R 2 gravity are in one-to-one correspondence with solutions of General Relativity in the case of non-vanishing Ricci scalar. However, scalar-flat R = 0 solutions are global minima of the R 2 action and they cannot in general be mapped to solutions of the Einstein theory. As we will discuss, the R = 0 solutions arise in Einstein gravity as solutions in the tensionless, strong coupling limit M P → 0. As a further result, there is no corresponding Birkhoff theorem and the Schwarzschild black hole is by no means unique in this framework. In fact, R 2 gravity has a rich structure of vacuum static spherically symmetric solutions partially uncovered here. We also find charged static spherically symmetric backgrounds coupled to a U(1) field. Finally, we provide the entropy and energy formulas for the R 2 theory and we find that entropy and energy vanish for scalar-flat backgrounds.
Keywords Black HolesClassical Theories of Gravity
arXiv: 1502.04192
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KECHAGIAS, Alexandros et al. Black hole solutions in R 2 gravity. In: Journal of High Energy Physics, 2015, vol. 1505, p. 143-163. https://archive-ouverte.unige.ch/unige:73686

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Deposited on : 2015-06-25

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