Generating static perfect-fluid solutions of Einstein’s equations [PDF]
Journal of Mathematical Physics, 2015 We present a method for generating exact interior solutions of Einstein’s equations in the case of static and axially symmetric perfect-fluid spacetimes. The method is based upon a transformation that involves the metric functions as well as the density and pressure of the seed solution.
Hernando Quevedo, Saken Toktarbay
openaire +2 more sources
Physical acceptability of isolated, static, spherically symmetric, perfect fluid solutions of Einstein's equations [PDF]
Computer Physics Communications, 1998 We ask the following question: Of the exact solutions to Einstein's equations extant in the literature, how many could represent the field associated with an isolated static spherically symmetric perfect fluid source? The candidate solutions were subjected to the following elementary tests: i) isotropy of the pressure, ii) regularity at the origin, iii)
Delgaty, M. S. R., Lake, Kayll
openaire +2 more sources
Static perfect fluids with Pant-Sah equations of state [PDF]
General Relativity and Gravitation, 2008 32 p., Latex, minor changes and ...
openaire +2 more sources
All static spherically symmetric perfect-fluid solutions of Einstein’s equations [PDF]
Physical Review D, 2003 Final form to appear in Phys Rev D.
openaire +2 more sources
Static spherically symmetric Einstein-aether models I: perfect fluids with a linear equation of state and scalar fields with an exponential self-interacting potential [PDF]
General Relativity and Gravitation, 2019 46 pages, 4 compound figures.
Alan Coley, Genly Leon
openaire +2 more sources
On Minimal Hypersurfaces of a Unit Sphere
Mathematics, 2021 Minimal compact hypersurface in the unit sphere Sn+1 having squared length of shape operator A22), provided the scalar curvature τ is a constant on integral curves of w.
Amira Ishan +3 more
doaj +1 more source
General exact solutions of Einstein equations for static perfect fluids with spherical symmetry
Journal of Mathematical Physics, 1987 The gravitational field equations for a spherical symmetric perfect fluid are completely solved. The general analytical solution obtained depends on an arbitrary function of the radial coordinate. As illustrations of the proposed procedure the exterior and interior Schwarzschild solutions are regained.
Berger, Sonia +2 more
openaire +2 more sources
On the stability of Einstein static universe at background level in massive bigravity
Nuclear Physics B, 2017 We study the static cosmological solutions and their stability at background level in the framework of massive bigravity theory with Friedmann–Robertson–Walker (FRW) metrics. By the modification proposed in the cosmological equations subject to a perfect
M. Mousavi, F. Darabi
doaj +1 more source
Cylindrically Symmetric, Static, Perfect-Fluid Solutions of Einstein's Field Equations
Journal of the Korean Physical Society, 2007 Perfect-fluid, static, cylindrically symmetric solutions of Einstein's field equations are obtained for the equations of state $ρ+3p=0$ and $ρ=p$. In the former case, the density and the pressure turn out to be constant while in the later case, they depend on the radial parameter $r$.
openaire +3 more sources
Fluid black holes with electric field
European Physical Journal C: Particles and Fields, 2019 We investigate the gravitational field of static perfect-fluid in the presence of electric field. We adopt the equation of state $$p(r)=-\rho (r)/3$$ p(r)=-ρ(r)/3 for the fluid in order to consider the closed ($$S_3$$ S3 ) or the open ($$H_3$$ H3 ...
Inyong Cho
doaj +1 more source