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We construct Pleba\'nski-Demia\'nski stationary and axisymmetric solutions with two expanding and double principal null directions in the framework of Metric-Affine gauge theory of gravity.
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F. W. Hehl, J. D. McCrea, E. W. Mielke, and Y. Ne’eman, “Metric-Affine gauge theory of gravity: Field equations, Noether identities, world spinors, and breaking of dilation invariance,” Phys. Rept
1995
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Y. N. Obukhov, E. J. Vlachynsky, W. Esser, and F. W. Hehl, “Effective Einstein theory from metric-affine gravity models via irreducible decompositions,” Phys. Rev. D
1997
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A. Garcia, F. W. Hehl, C. Lämmerzahl, A. Macias, and J. Socorro, “Plebański-Demiański-like solutions in metric-affine gravity,” Class. Quant. Grav
1998
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D. Lynden-Bell and M. Nouri-Zonoz, “Classical monopoles: Newton, NUT space, gravimagnetic lensing and atomic spectra,” Rev. Mod. Phys
1998
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G. Clément, D. Gal’tsov, and M. Guenouche, “Rehabilitating space-times with NUTs,” Phys. Lett. B
2015
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2017
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M. Blagojević and B. Cvetković, “Generalized pp waves in Poincaré gauge theory,” Phys. Rev. D
2017
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Cited alongside, same era.
J. B. Griffiths and J. Podolský, “A new look at the Plebański-Demiański family of solutions,” Int. J. Mod. Phys. D
2006
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2006
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2006
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2007
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2007
Cited alongside, same era.
V. P. Frolov, P. Krtouš, and D. Kubizňák, “Separability of Hamilton-Jacobi and Klein-Gordon Equations in General Kerr-NUT-AdS Spacetimes,” JHEP
2007
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M. Blagojević and B. Cvetković, “Entropy in Poincaré gauge theory: Kerr-AdS solution,” Phys. Rev. D
2007
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2017
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Nauka, Moscow, 2017
V. N. Ponomarev, A. O. Barvinsky, and Yu. N. Obukhov, Gauge Approach and Quantization Methods in Gravity Theory · 2017
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2017
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2017
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2018
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2018
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2018
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2018
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2018
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2018
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J. Podolský and A. Vrátný, “New improved form of black holes of type D,” Phys. Rev. D
2021
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2021
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2022
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