Einstein's vacuum field equation: Painlevé analysis and Lie symmetries

DOI10.1080/17455030.2019.1574410OpenAlexW2912069247MaRDI QIDQ5885259

Lakhveer Kaur, Abdul-Majid Wazwaz

Publication date: 3 April 2023

Published in: Waves in Random and Complex Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17455030.2019.1574410

zbMATH Keywords

exact solutionsLie classical methodEinstein's vacuum field equation

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05)

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Lie point symmetries of autonomous scalar first-order Itô stochastic delay ordinary differential equations ⋮ Lie symmetries, Painlevé analysis, and global dynamics for the temporal equation of radiating stars ⋮ General form of axially symmetric stationary metric: exact solutions and conservation laws in vacuum fields ⋮ Interaction characteristics of the Riemann wave propagation in the (2+1)-dimensional generalized breaking soliton system ⋮ Unnamed Item ⋮ New integrable Boussinesq equations of distinct dimensions with diverse variety of soliton solutions ⋮ Lie symmetry analysis of \(C_1(m, a, b)\) partial differential equations ⋮ The Weierstrass and Jacobi elliptic solutions along with multiwave, homoclinic breather, kink-periodic-cross rational and other solitary wave solutions to Fornberg Whitham equation ⋮ Multiple lump, generalized breathers, Akhmediev breather, manifold periodic and rogue wave solutions for generalized FitzHugh-Nagumo equation: applications in nuclear reactor theory ⋮ Discussion on rational solutions for nematicons in liquid crystals with Kerr law

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