Matches in SemOpenAlex for { <https://semopenalex.org/work/W3025667511> ?p ?o ?g. }
- W3025667511 abstract "The effects of the cosmological constant on the static equilibrium configurations and stability against small radial perturbations of relativistic polytropic spheres are investigated. This study numerically solves the hydrostatic equilibrium equation and the radial stability equation, both of which are modified from their standard form to introduce the cosmological constant. For the fluid, we consider a pressure p and an energy density $$rho $$, which are connected through the equation of state $$p=kappa delta ^{varGamma }$$ with $$delta =rho -p/(varGamma -1)$$, where $$kappa $$, $$varGamma $$ and $$delta $$ represent the polytropic constant, adiabatic index and rest mass density of the fluid, respectively. The dependencies of the mass, radius and eigenfrequency of oscillations on both the cosmological constant and the adiabatic index are analyzed. For ranges of both the central rest mass density $$delta _c$$ and the adiabatic index $$varGamma $$, we show that the stars have a larger (lower) mass and radius and a diminished (enhanced) stability when the cosmological constant $$varLambda >0$$ ($$varLambda <0$$) is increased (decreased). In addition, in a sequence of compact objects with fixed $$varGamma $$ and $$varLambda $$, the regions constructed by stable and unstable static equilibrium configurations are recognized by the conditions $$mathrm{d}M/mathrm{d}delta _c>0$$ and $$mathrm{d}M/mathrm{d}delta _c<0$$, respectively." @default.
- W3025667511 created "2020-05-21" @default.
- W3025667511 creator A5005203714 @default.
- W3025667511 creator A5056673414 @default.
- W3025667511 date "2020-04-01" @default.
- W3025667511 modified "2023-10-16" @default.
- W3025667511 title "Stable relativistic polytropic objects with cosmological constant" @default.
- W3025667511 cites W1517106909 @default.
- W3025667511 cites W1537505738 @default.
- W3025667511 cites W1598001248 @default.
- W3025667511 cites W1853767801 @default.
- W3025667511 cites W1854246413 @default.
- W3025667511 cites W1951706720 @default.
- W3025667511 cites W1964378302 @default.
- W3025667511 cites W1967103932 @default.
- W3025667511 cites W1967249653 @default.
- W3025667511 cites W1968621865 @default.
- W3025667511 cites W1972268597 @default.
- W3025667511 cites W1985171678 @default.
- W3025667511 cites W1987169448 @default.
- W3025667511 cites W1989267048 @default.
- W3025667511 cites W2012291291 @default.
- W3025667511 cites W2014058921 @default.
- W3025667511 cites W2015148569 @default.
- W3025667511 cites W2018717506 @default.
- W3025667511 cites W2030489439 @default.
- W3025667511 cites W2032949900 @default.
- W3025667511 cites W2036662279 @default.
- W3025667511 cites W2037138635 @default.
- W3025667511 cites W2037219455 @default.
- W3025667511 cites W2048540625 @default.
- W3025667511 cites W2049554078 @default.
- W3025667511 cites W2055369581 @default.
- W3025667511 cites W2056173066 @default.
- W3025667511 cites W2056674443 @default.
- W3025667511 cites W2058036911 @default.
- W3025667511 cites W2066469075 @default.
- W3025667511 cites W2073832139 @default.
- W3025667511 cites W2076601247 @default.
- W3025667511 cites W2079253890 @default.
- W3025667511 cites W2086592505 @default.
- W3025667511 cites W2091392092 @default.
- W3025667511 cites W2091719976 @default.
- W3025667511 cites W2092350553 @default.
- W3025667511 cites W2093076953 @default.
- W3025667511 cites W2094740723 @default.
- W3025667511 cites W2100367618 @default.
- W3025667511 cites W2102716046 @default.
- W3025667511 cites W2112681595 @default.
- W3025667511 cites W2114014199 @default.
- W3025667511 cites W2117142729 @default.
- W3025667511 cites W2118778033 @default.
- W3025667511 cites W2122704540 @default.
- W3025667511 cites W2124814863 @default.
- W3025667511 cites W2131699925 @default.
- W3025667511 cites W2141250088 @default.
- W3025667511 cites W2145357122 @default.
- W3025667511 cites W2167572849 @default.
- W3025667511 cites W2171317216 @default.
- W3025667511 cites W2177433753 @default.
- W3025667511 cites W2182685307 @default.
- W3025667511 cites W2190518667 @default.
- W3025667511 cites W2234626847 @default.
- W3025667511 cites W2234792678 @default.
- W3025667511 cites W2247724692 @default.
- W3025667511 cites W2266792650 @default.
- W3025667511 cites W2288571812 @default.
- W3025667511 cites W2315691468 @default.
- W3025667511 cites W2328184401 @default.
- W3025667511 cites W2509970647 @default.
- W3025667511 cites W2516701324 @default.
- W3025667511 cites W2591817099 @default.
- W3025667511 cites W2593427251 @default.
- W3025667511 cites W2594587480 @default.
- W3025667511 cites W2596778397 @default.
- W3025667511 cites W2609823625 @default.
- W3025667511 cites W2775256970 @default.
- W3025667511 cites W2778667054 @default.
- W3025667511 cites W2799342308 @default.
- W3025667511 cites W2807099098 @default.
- W3025667511 cites W2810152644 @default.
- W3025667511 cites W2898154350 @default.
- W3025667511 cites W2959460377 @default.
- W3025667511 cites W3037508136 @default.
- W3025667511 cites W3098371892 @default.
- W3025667511 cites W3098730262 @default.
- W3025667511 cites W3098955814 @default.
- W3025667511 cites W3099169305 @default.
- W3025667511 cites W3099518532 @default.
- W3025667511 cites W3099603551 @default.
- W3025667511 cites W3099803164 @default.
- W3025667511 cites W3099838009 @default.
- W3025667511 cites W3100514957 @default.
- W3025667511 cites W3102323991 @default.
- W3025667511 cites W3102623580 @default.
- W3025667511 cites W3102894075 @default.
- W3025667511 cites W3103155918 @default.
- W3025667511 cites W3103660227 @default.
- W3025667511 cites W3104698705 @default.
- W3025667511 cites W3105497255 @default.