Singularity-free static fluid spheres in general relativity

1997 ◽  
Vol 38 (10) ◽  
pp. 5301-5304 ◽  
Author(s):  
Oleg Yu. Orlyansky
Keyword(s):  
General Relativity ◽  
Static Fluid ◽  
Fluid Spheres

Non-static fluid spheres in general relativity

1985 ◽  
Vol 108 (2) ◽  
pp. 415-417
Author(s):  
Attila M�sz�ros
Keyword(s):  
General Relativity ◽  
Static Fluid ◽  
Fluid Spheres

Charged static fluid spheres in general relativity

1995 ◽  
Vol 110 (8) ◽  
pp. 897-903 ◽  
Author(s):  
M. K. Mak ◽  
P. C. W. Fung
Keyword(s):  
General Relativity ◽  
Static Fluid ◽  
Fluid Spheres

scholarly journals Counterexamples to the Maximum Force Conjecture

Universe ◽  
2021 ◽  
Vol 7 (11) ◽  
pp. 403
Author(s):  
Aden Jowsey ◽  
Matt Visser
Keyword(s):  
General Relativity ◽  
Dimensional Analysis ◽  
Maximum Force ◽  
Explicit Calculation ◽  
General Notion ◽  
Physical Situation ◽  
Speed Of Light ◽  
Maximum Tension ◽  
Dimensionless Function ◽  
Fluid Spheres

Dimensional analysis shows that the speed of light and Newton’s constant of gravitation can be combined to define a quantity F*=c4/GN with the dimensions of force (equivalently, tension). Then in any physical situation we must have Fphysical=fF*, where the quantity f is some dimensionless function of dimensionless parameters. In many physical situations explicit calculation yields f=O(1), and quite often f≤1/4. This has led multiple authors to suggest a (weak or strong) maximum force/maximum tension conjecture. Working within the framework of standard general relativity, we will instead focus on idealized counter-examples to this conjecture, paying particular attention to the extent to which the counter-examples are physically reasonable. The various idealized counter-examples we shall explore strongly suggest that one should not put too much credence into any truly universal maximum force/maximum tension conjecture. Specifically, idealized fluid spheres on the verge of gravitational collapse will generically violate the weak (and strong) maximum force conjectures. If one wishes to retain any truly general notion of “maximum force” then one will have to very carefully specify precisely which forces are to be allowed within the domain of discourse.

Anisotropic fluid spheres in general relativity

1982 ◽  
Vol 26 (6) ◽  
pp. 1262-1274 ◽  
Author(s):  
Selçuk Ş. Bayin
Keyword(s):  
General Relativity ◽  
Anisotropic Fluid ◽  
Fluid Spheres

Static fluid spheres in Einstein-Cartan theory

1975 ◽  
Vol 11 (8) ◽  
pp. 2076-2082 ◽  
Author(s):  
A. R. Prasanna
Keyword(s):  
Static Fluid ◽  
Cartan Theory ◽  
Fluid Spheres

Properties of static fluid cylinders and plane layers in general relativity

1979 ◽  
Vol 11 (5) ◽  
pp. 343-355 ◽  
Author(s):  
K. A. Bronnikov ◽  
M. A. Kovalchuk
Keyword(s):  
General Relativity ◽  
Static Fluid
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