Spherical Symmetric Solution in f(R) Model Around Charged Black Hole

Aghmohammadi, A.; Saaidi, Kh.; Abolhassani, M. R.; Vajdi, Ariana

doi:10.1007/s10773-010-0250-4

Cited by 34 publications

(20 citation statements)

References 38 publications

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“…where η = 3c 2 + β/2 − β/2 and we have set φ(a 0 = 1) = 0, that according to (2) we receive f (R) = R. Taking the time derivative of (8) and using (16) gives…”

Section: Reconstructing Holographic F(r)gravity Modelmentioning

confidence: 99%

Resembling Holographic Dark Energy with f(R)Gravity as Scalar Field and Ghost Dark Energy with Tachyon Scalar Fields

Aghamohammadi

2014

Int J Theor Phys

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In this article,the dynamics and potential of two different scalar field models is presented in a flat Friedmann-Lemaitre-Robertson-Walker(FLRW) universe. One of those models is obtained from the corresponding relation between holographic energy density (HED) with energy density of the corresponding scalar field of f(R) gravity,and other models is achieved from connection between the ghost energy density (GDE) with energy density of the tachyon field model. Also, a f (R) model according to the the HDE model is calculated then stability,anti -gravity and viable conditions on it are investigated.

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“…where η = 3c 2 + β/2 − β/2 and we have set φ(a 0 = 1) = 0, that according to (2) we receive f (R) = R. Taking the time derivative of (8) and using (16) gives…”

Section: Reconstructing Holographic F(r)gravity Modelmentioning

confidence: 99%

Resembling Holographic Dark Energy with f(R)Gravity as Scalar Field and Ghost Dark Energy with Tachyon Scalar Fields

Aghamohammadi

2014

Int J Theor Phys

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“…Also, several SSS fðRÞ BH solutions have been obtained. This includes models for a nonconstant curvature scalar [12][13][14], the fðRÞ BH solution coupling to Yang-Mills (YM) [15,16] and coupled to nonlinear electrodynamics [17,18]. Hendi et al [19,20] further generalized the SSS fðRÞ BH to include conformally invariant Maxwell sources, while the fðRÞ Maxwell BH has been analyzed by Moon et al [15].…”

Section: Introductionmentioning

confidence: 99%

Gravitational collapse of null dust inf(R)gravity

Ghosh

Maharaj

2012

Phys. Rev. D

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We find exact nonstatic null-dust solutions in metric fðRÞ gravity, imposed by the constant scalar curvature, which describes the gravitational collapse of null dust in (anti-)de Sitter [(A)dS] higherdimensional (HD) background. The situation where a null dust injects into the initially HD-(A)dS spacetime leads to a naked singularity from gravitational collapse in HD-fðRÞ gravity, violating cosmic censorship conjecture. Further, we find exact null-dust solutions to constant curvature imposed non-Abelian fðRÞ Yang-Mills gauge theory by employing the Wu-Yang ansatz in four dimensions. This generates an identical geometry as one would expect for charge null dust in the Abelian fðRÞ Maxwell theory, i.e., precisely the charged-Vaidya-(A)dS corresponding to Yang-Mills gauge charge. The fourdimensional charged null-dust solutions in the fðRÞ Maxwell theory are also, separately, derived.

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“…If the equivalence exist, we can use it to solve field equations for scalar-tensor theory and obtain the solution corresponding to f (R) action and vice-versa. This would be advantageous, since in general solving the field equations for f (R) gravity, where R is not a constant, is difficult 1 [22,[41][42][43][44][45][46][47]. While the corresponding scalar-tensor solution could in principle be much simpler.…”

Section: Introductionmentioning

confidence: 99%

Solving higher curvature gravity theories

Chakraborty

SenGupta

2016

Eur. Phys. J. C

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Solving field equations in the context of higher curvature gravity theories is a formidable task. However, in many situations, e.g., in the context of f (R) theories, the higher curvature gravity action can be written as an EinsteinHilbert action plus a scalar field action. We show that not only the action but the field equations derived from the action are also equivalent, provided the spacetime is regular. We also demonstrate that such an equivalence continues to hold even when the gravitational field equations are projected on a lower-dimensional hypersurface. We have further addressed explicit examples in which the solutions for Einstein-Hilbert and a scalar field system lead to solutions of the equivalent higher curvature theory. The same, but on the lowerdimensional hypersurface, has been illustrated in the reverse order as well. We conclude with a brief discussion on this technique of solving higher curvature field equations.

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Spherical Symmetric Solution in f(R) Model Around Charged Black Hole

Cited by 34 publications

References 38 publications

Resembling Holographic Dark Energy with f(R)Gravity as Scalar Field and Ghost Dark Energy with Tachyon Scalar Fields

Resembling Holographic Dark Energy with f(R)Gravity as Scalar Field and Ghost Dark Energy with Tachyon Scalar Fields

Gravitational collapse of null dust inf(R)gravity

Solving higher curvature gravity theories

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