Exact solutions of Einstein field equation in locally conformally flat manifolds
DOI10.1007/s00025-021-01476-5zbMath1473.53090OpenAlexW3188781902MaRDI QIDQ2044625
Romildo Pina, Mauricio Donizetti Pieterzack, Levi Rosa Adriano, Ilton Ferreira de Menezes
Publication date: 10 August 2021
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00025-021-01476-5
General relativity (83C99) Applications of global differential geometry to the sciences (53C80) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Conformal structures on manifolds (53C18)
Cites Work
- On solutions of the Ricci curvature equation and the Einstein equation
- Space times of embedding class one in general relativity
- On metrics satisfying equation \(R_{ij}-\frac{1}{2}Kg_{ij}=T_{ij}\) for constant tensors \(T\)
- Static perfect fluid spacetime with half conformally flat spatial factor
- On the Ricci and Einstein equations on the pseudo-Euclidean and hyperbolic spaces
- Seminar on Differential Geometry. (AM-102)
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