Black hole solutions in F(R) gravity with conformal anomaly
2011Citations per year
Abstract: (arXiv)
In this paper, we consider F(R)=R+f(R) theory instead of Einstein gravity with conformal anomaly and look for its analytical solutions. Depending on the free parameters, one may obtain both uncharged and charged solutions for some classes of F(R) models. Calculation of Kretschmann scalar shows that there is a singularity located at r=0, which the geometry of uncharged (charged) solution is corresponding to the Schwarzschild (Reissner-Nordstr\'om) singularity. Further, we discuss the viability of our models in details. We show that these models can be stable depending on their parameters and in different epoches of the universe.Note:
- 12 pages, one figure
- anomaly: conformal
- gravitation: f(R)
- black hole: Reissner-Nordstroem
- black hole: Schwarzschild
- stability
References(75)
Figures(1)
- Mon.Not.Roy.Astron.Soc. 150 1
- •
- Phys.Lett.B 91 (1980) 99-102,
- Adv.Ser.Astrophys.Cosmol. 3 (1987) 130-133,
- ,
- ,
- •
- JCAP 08 (2006) 001
- e-Print:•
- ,
- ,
- •
- Mon.Not.Roy.Astron.Soc. 375 (2007) 1423-1440
- e-Print:•
- •
- Mon.Not.Roy.Astron.Soc. 381 (2007) 1103-1108
- e-Print:•
- ,
- ,
- ,
- ,
- •
- Phys.Rev.D 77 (2008) 046009
- e-Print:•
- ,
- •
- Prog.Theor.Phys.Suppl. 190 (2011) 155-178
- e-Print:•
- DOI:
- ,
- ,
- ,
- ,
- •
- Phys.Rev.D 83 (2011) 086006
- e-Print:•
- •
- Phys.Lett.B 690 (2010) 220-223
- e-Print:•
- •
- Gen.Rel.Grav. 44 (2012) 835-853
- e-Print:•
- ,
- •
- eConf C0602061 (2006) 06,
- Int.J.Geom.Meth.Mod.Phys. 4 (2007) 115-146
- e-Print:•
- ,
- •
- Phys.Rept. 505 (2011) 59-144
- e-Print:•
- ,
- ,
- ,
- ,
- •
- Phys.Rev.D 73 (2006) 084007
- e-Print:•
- ,
- ,
- •
- Class.Quant.Grav. 22 (2005) L35
- e-Print:•
- •
- Phys.Rev.D 79 (2009) 024009
- e-Print:•
- ,
- •
- JCAP 04 (2008) 024
- e-Print:•
- •
- Astropart.Phys. 30 (2008) 209-215
- e-Print:•
- •
- Int.J.Mod.Phys.D 18 (2009) 2275-2282
- e-Print:•
- •
- Eur.Phys.J.C 65 (2010) 257-267
- e-Print:•
- •
- Astropart.Phys. 34 (2011) 412-419
- e-Print:•
- •
- Phys.Rev.D 74 (2006) 086005
- e-Print:•
- •
- J.Phys.Conf.Ser. 66 (2007) 012005
- e-Print:•
- •
- Phys.Rev.D 78 (2008) 046006
- e-Print:•
- •
- Nuovo Cim.A 23 (1974) 173-183
- DOI:
- •
- Nucl.Phys.B 125 (1977) 334-348