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Lovelock black holes with a power-Yang-Mills source · Around

2009

Lovelock black holes with a power-Yang-Mills source

Mazharimousavi, S. Habib, Halilsoy, M.

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We consider the standard Yang-Mills (YM) invariant raised to the power q, i.e., $(F_{\mu \nu}^{(a)}F^{(a) \mu \nu})^{q}$ as the source of our geometry and investigate the possible black hole solutions.

How does this parameter q modify the black holes in Einstein-Yang-Mills (EYM) and its extensions such as Gauss-Bonnet (GB) and the third order Lovelock theories? The advantage of such a power q (or a set of superposed members of the YM hierarchies) if any, may be tested even in a free YM theory in flat spacetime.
Our choice of the YM field is purely magnetic in any higher dimensions so that duality makes no sense.
In analogy with the Einstein-power-Maxwell theory, the conformal invariance provides further reduction, albeit in a spacetime for dimensions of multiples of 4.

Built on

B. C. Xanthopoulos and T. E. Dialynas, J. Math. Phys. (N.Y.) 33
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P. B. Yasskin, Phys. Rev. D 12
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S. W. Hawking and J. F. R. Ellis, The Large Scale Structure of Spacetime (Cambridge University Press, Cambridge, England, 1973); M. Salgado, Class. Quant. Grav. 20
2003
Earlier work this paper cites.

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H. Maeda, M. Hassaïne and C. Martínez, Phys. Rev. D 7
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Cited alongside, same era.
S. H. Mazharimousavi, O. Gurtug and M. Halilsoy, arXiv:0809.3649
Original
Cited in the paper.

Then

M. Born and L. Infeld, Foundations of the New Field Theory. Proc. Roy. Soc, A 144
2008
Later among the works it cites.
S. Habib Mazharimousavi, M. Halilsoy and Z. Amirabi, Gen. Rel. Grav. (2009) in press, arXiv:0802.3990
Original
2009
Closest in time.
D. Lovelock, J. Math. Phys. (N.Y) 12
2009
Closest in time.

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