Spherical symmetry in
                    <i>f</i>
                    (
                    <i>R</i>
                    )-gravity

Capozziello, Salvatore; Stabile, A.; Troisi, A.

doi:10.1088/0264-9381/25/8/085004

Cited by 208 publications

(147 citation statements)

References 82 publications

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“…These results were recently extended to any quadratic theory Lagrangian [33]. Within F(R) gravity, several studies have been performed in recent years such as static and spherically symmetric black holes [26,27,[34][35][36][37][38][39], traversable wormholes [40][41][42][43][44][45] and pure double layer bubbles [46].…”

Section: Introductionmentioning

confidence: 99%

Spherical thin shells in F(R) gravity: construction and stability

Eiroa

Figueroa-Aguirre

2018

Eur. Phys. J. C

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We present a broad class of spherical thin shells of matter in F(R) gravity. We show that the corresponding junction conditions determine the equation of state between the energy density and the pressure/tension at the surface. We analyze the stability of the static configurations under perturbations preserving the symmetry. We apply the formalism to the construction of charged bubbles and we find that there exist stable static configurations for a suitable set of the parameters of the model.

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Section: Introductionmentioning

confidence: 99%

Spherical thin shells in F(R) gravity: construction and stability

Eiroa

Figueroa-Aguirre

2018

Eur. Phys. J. C

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“…In particular, it can be considered how to obtain results consistent with GR assuming the well-known post-Newtonian and post-Minkowskian limits as consistency checks. [9].…”

Section: Introductionmentioning

confidence: 99%

Axially symmetric solutions in f ( R )-gravity

Capozziello

Laurentis

Stabile

2010

Class. Quantum Grav.

121

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Axially symmetric solutions for f (R)-gravity can be derived starting from exact spherically symmetric solutions achieved by Noether symmetries. The method takes advantage of a complex coordinate transformation previously developed by Newman and Janis in General Relativity. An example is worked out to show the general validity of the approach. The physical properties of the solution are also considered.PACS numbers: 98.80.-k, 95.35.+x, 95.35.+d, 04.50.+h

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“…Furthermore, it was shown that in the absence of scalar field, µ = 0, the solution is recovred by the empty spacetime Schwarzschild solution. Our aim here is to extend and use Buchdahl's solution to find an approximated solution for (14). We take in to the account that the nonlinearity parameter β is smallness parameter and we try to extend the solutions of (14) in a series of perturbations.…”

Section: Slightly Modified Xanthopolous and Zannias Solutionsmentioning

confidence: 99%

“…The case with γ = −1 represents the Schwarzschild solution with negative mass which it has a naked singularity. Our aim here to find the exact solution (black hole) with β = 0 for (14). One possibility is to use perturbation method around this exact solution (β = 0 case) as the following:…”

Section: Slightly Modified Xanthopolous and Zannias Solutionsmentioning

confidence: 99%

Spherically Symmetric Solutions of Light Galileon

et al. 2015

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We have been studied the model of light Galileon with translational shift symmetry φ → φ + c. The matter Lagrangian is presented in the form L φ = −η(∂φ) 2 + βG µν ∂µφ∂νφ. We have been addressed two issues: the first is that, we have been proven that, this type of Galileons belong to the modified matter-curvature models of gravity in type of f (R, R µν T m µν ). Secondly, we have been investigated exact solution for spherically symmetric geometries in this model. We have been found an exact solution with singularity at r = 0 in null coordinates. We have been proven that the solution has also a non-divergence current vector norm. This solution can be considered as an special solution which has been investigated in literature before, in which the Galileon's field is non-static (time dependence). Our scalar-shift symmetrized Galileon has the simple form of φ = t, which it is remembered by us dilaton field.

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Spherical symmetry in f ( R )-gravity

Cited by 208 publications

References 82 publications

Spherical thin shells in F(R) gravity: construction and stability

Spherical thin shells in F(R) gravity: construction and stability

Axially symmetric solutions in f ( R )-gravity

Spherically Symmetric Solutions of Light Galileon

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