Dust Static Spherically Symmetric Solution in $f(R)$ Gravity

In this paper, we take dust matter and investigate static spherically symmetric solution of the field equations in metric $f(R)$ gravity. The solution is found with constant Ricci scalar curvature and its energy distribution is evaluated by using Landau--Lifshitz energy-momentum complex. We also dis...

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Veröffentlicht in:	Journal of the Physical Society of Japan 2011-04, Vol.80 (4), p.044004-044004-6
1. Verfasser:	Sharif, Muhammad
Format:	Artikel
Sprache:	eng
Schlagworte:	Astronomy Cosmology Earth, ocean, space Exact sciences and technology Mathematical and relativistic aspects of cosmology. Quantum cosmology Stellar systems. Galactic and extragalactic objects and systems. The universe
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Zusammenfassung:	In this paper, we take dust matter and investigate static spherically symmetric solution of the field equations in metric $f(R)$ gravity. The solution is found with constant Ricci scalar curvature and its energy distribution is evaluated by using Landau--Lifshitz energy-momentum complex. We also discuss the stability condition and constant scalar curvature condition for some specific popular choices of $f(R)$ models in addition to their energy distribution.
ISSN:	0031-9015 1347-4073
DOI:	10.1143/JPSJ.80.044004