Spacetimes with symmetry in modified theories of gravity
Advisor: Tomáš Málek (IM CAS)
Funding: Funded
Contact: malek@math.cas.cz
Spacetime symmetries play a crucial role in our understanding of gravitational theories, serving as a key tool for finding their exact solutions. The aim of this project is to provide a systematic study of isometries classified from the perspective of Lorentzian Lie algebra-subalgebra pairs and investigate various aspects of the corresponding spacetimes in adapted coordinates. In this context, the focus will be on exploring specific properties and exact solutions of modified theories of gravity.
References:
[1]
G. Frausto, I. Kolář, T. Málek, C. Torre, Symmetry reduction of gravitational
Lagrangians, arXiv:2410.11036.
[2] J. W. Hicks, Classification of Spacetimes
with Symmetry, Ph.D. thesis, Utah State University, 2016.
[3] H. Stephani, D.
Kramer, M. MacCallum, C. Hoenselaers, and E. Herlt, Exact Solutions of
Einstein's Field Equations. Cambridge University Press, second ed.,
2003.
[4] J. B. Griffiths, J. Podolský, Exact space-times in
Einstein's general relativity, Cambridge University Press, 2012.
[5] L.
Šnobl and P. Winternitz, Classification and Identification of Lie Algebras, CRM
monograph series, American Mathematical Society, 2014.
