Type-N, shear-free, perfect-fluid spacetimes with a barotropic equation of state

DOI10.1007/BF00756051zbMath0657.53046OpenAlexW2045592608MaRDI QIDQ1110833

John Carminati

Publication date: 1988

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00756051

zbMATH Keywords

Einstein's field equationsKilling vectorbarotropic equation of stateperfect-fluid solutionsPetrov-type

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Applications of local differential geometry to the sciences (53B50)

Related Items

An approximate global solution of Einstein's equation for a rotating compact source with linear equation of state, Investigations of \(f(R)\)-gravity counterparts of the general relativistic shear-free conjecture by illustrative examples, Theorems on shear-free perfect fluids with their Newtonian analogues

Cites Work

• Unnamed Item
• Observationally homogeneous shear-free perfect fluids
• All flow-stationary cylindrically symmetric solutions of the Einstein field equations for a rotating isentropic perfect fluid
• Differential forms. With applications to the physical sciences
• Shear-free perfect fluids in general relativity. I. Petrov type N Weyl tensor
• An Approach to Gravitational Radiation by a Method of Spin Coefficients