2021
DOI: 10.1140/epjc/s10052-021-09310-6
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Anisotropic generalization of Buchdahl bound for specific stellar models

Abstract: Anisotropy is one factor that appears to be significantly important in the studies of relativistic compact stars. In this paper, we make a generalization of the Buchdahl limit by incorporating an anisotropic effect for a selected class of exact solutions describing anisotropic stellar objects. In the isotropic case of a homogeneous distribution, we regain the Buchdahl limit $$2M/R \le 8/9$$ 2 M / R … Show more

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Cited by 8 publications
(5 citation statements)
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“…Many are the works that study, and generalize this limit. Some assuming various situations[103][104][105][106][107][108], or extensions to GR[109][110][111][112][113].…”
mentioning
confidence: 99%
“…Many are the works that study, and generalize this limit. Some assuming various situations[103][104][105][106][107][108], or extensions to GR[109][110][111][112][113].…”
mentioning
confidence: 99%
“…[61,62]), we considered a massive scalar field with a time dependence and a mass range between ‡ Many are the works that study, and generalize this limit. Some assuming various situations [84,85,86,87], or extensions to GR [88,89,90,91].…”
Section: Discussionmentioning
confidence: 99%
“…In Refs., [81][82][83] the GEB WH model was introduced as a sequence of simple Lorentzian WHs with two parameters viz., n and r 0 , where r 0 and n are the throat radius and a free even integer exponent, respectively. The shape function for this WH is provided by…”
Section: Geb Wh Generated By Dmghs In the Tsujikawa-like Modelmentioning
confidence: 99%
“…In Refs., [81–83] the GEB WH model was introduced as a sequence of simple Lorentzian WHs with two parameters viz., n and r 0 , where r 0 and n are the throat radius and a free even integer exponent, respectively. The shape function for this WH is provided by ε(r)badbreak=rgoodbreak−r32nfalse(rnr0nfalse)22n.$$\begin{equation} \epsilon (r)= r-r^{3-2n} (r^n-r_0^n)^{2-\frac{2}{n}}.…”
Section: Geb Wh Generated By Dmghs In the Tsujikawa‐like Modelmentioning
confidence: 99%