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R. C. Tolman, Static Solutions of Einstein’s Field Equations for Spheres of Fluid
1939
Earlier work this paper cites.
W. Israel, Nuovo Cim. B 44
1966
Earlier work this paper cites.
M. Colpi, S. L. Shapiro, I. Wasserman, Boson Stars: Gravitational Equilibria of Self-interacting Scalar Fields
1986
Earlier work this paper cites.
L. Herrera, N. O. Santos, Local anisotropy in self-gravitating systems
1997
Earlier work this paper cites.
L. Randall and R. Sundrum, A Large mass hierarchy from a small extra dimension
1999
Earlier work this paper cites.
L. Randall and R. Sundrum, An Alternative to compactification
1999
Earlier work this paper cites.
B.V. Ivanov, Maximum bounds on the surface redshift of anisotropic stars
2002
Earlier work this paper cites.
K. Lake, All static spherically symmetric perfect fluid solutions of Einstein’s Equations
2003
Earlier work this paper cites.
F. E. Schunck, E. W. Mielke, General relativistic boson stars
Original
2003
Earlier work this paper cites.
H. Stephani, D. Kramer, M. Maccallum, C. Hoenselaers, E. Herlt, “Exact Solutions of Einstein’s Field Equations” (Cambridge University Press, Cambridge, 2003)
2003
Earlier work this paper cites.
M. K. Mak, T. Harko, Anisotropic Stars in General Relativity
2003
Earlier work this paper cites.
K. Lake, Galactic Potentials
2004
Earlier work this paper cites.
P. Boonserm, M. Visser, S. Weinfurtner, Generating perfect fluid spheres in general relativity
2005
Earlier work this paper cites.
K. G. Zloshchastiev, Coexistence of black holes and a long-range scalar field in cosmology
2005
Earlier work this paper cites.
S. Capozziello, V. F. Cardone and A. Troisi, Reconciling dark energy models with f(R) theories
2005
Earlier work this paper cites.
J. Ovalle, Searching Exact Solutions for Compact Stars in Braneworld: a conjecture
2008
Earlier work this paper cites.

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2017

Anisotropic solutions by gravitational decoupling

Ovalle, J, Casadio, R, da Rocha, R et al.

Understand

We investigate the extension of isotropic interior solutions for static self-gravitating systems to include the effects of anisotropic spherically symmetric gravitational sources by means of the gravitational decoupling realised via the minimal geometric deformation approach.

In particular, the matching conditions at the star surface with the outer Schwarzschild space-time are studied in great details, and we describe how to generate, from a single physically acceptable isotropic solution, new families of anisotropic solutions whose physical acceptability is also inherited from their isotropic parent.

Built on

R. C. Tolman, Static Solutions of Einstein’s Field Equations for Spheres of Fluid
1939
Earlier work this paper cites.
W. Israel, Nuovo Cim. B 44
1966
Earlier work this paper cites.
M. Colpi, S. L. Shapiro, I. Wasserman, Boson Stars: Gravitational Equilibria of Self-interacting Scalar Fields
1986
Earlier work this paper cites.
L. Herrera, N. O. Santos, Local anisotropy in self-gravitating systems
1997
Earlier work this paper cites.
L. Randall and R. Sundrum, A Large mass hierarchy from a small extra dimension
1999
Earlier work this paper cites.
L. Randall and R. Sundrum, An Alternative to compactification
1999
Earlier work this paper cites.
B.V. Ivanov, Maximum bounds on the surface redshift of anisotropic stars
2002
Earlier work this paper cites.
K. Lake, All static spherically symmetric perfect fluid solutions of Einstein’s Equations
2003
Earlier work this paper cites.
F. E. Schunck, E. W. Mielke, General relativistic boson stars
Original
2003
Earlier work this paper cites.
H. Stephani, D. Kramer, M. Maccallum, C. Hoenselaers, E. Herlt, “Exact Solutions of Einstein’s Field Equations” (Cambridge University Press, Cambridge, 2003)
2003
Earlier work this paper cites.
M. K. Mak, T. Harko, Anisotropic Stars in General Relativity
2003
Earlier work this paper cites.
K. Lake, Galactic Potentials
2004
Earlier work this paper cites.
P. Boonserm, M. Visser, S. Weinfurtner, Generating perfect fluid spheres in general relativity
2005
Earlier work this paper cites.
K. G. Zloshchastiev, Coexistence of black holes and a long-range scalar field in cosmology
2005
Earlier work this paper cites.
S. Capozziello, V. F. Cardone and A. Troisi, Reconciling dark energy models with f(R) theories
2005
Earlier work this paper cites.
J. Ovalle, Searching Exact Solutions for Compact Stars in Braneworld: a conjecture
2008
Earlier work this paper cites.

Similar

V. Dzhunushaliev, V. Folomeev, R. Myrzakulov, Douglas Singleton, Non-singular solutions to Einstein-Klein-Gordon equations with a phantom scalar field
Original
2008
Cited alongside, same era.
L. Herrera, J. Ospino and A. Di Prisco, All static spherically symmetric anisotropic solutions of Einstein’s equations
Original
2008
Cited alongside, same era.
J. Ovalle, Braneworld stars: anisotropy minimally projected onto the brane
Original
2010
Cited alongside, same era.
A. De Felice and S. Tsujikawa, f(R) theories
Original
2010
Cited alongside, same era.
T. P. Sotiriou and V. Faraoni, f(R) Theories Of Gravity
Original

Then

J. Ovalle, Extending the geometric deformation: New black hole solutions
Original
2016
Later among the works it cites.
R. T. Cavalcanti, A. Goncalves da Silva, R. da Rocha, Strong deflection limit lensing effects in the minimal geometric deformation and Casadio–Fabbri–Mazzacurati solutions
Original
2016
Later among the works it cites.
R. Casadio, R. da Rocha, Stability of the graviton Bose-Einstein condensate in the brane-world
Original
2016
Later among the works it cites.
S. Chakraborty, S. SenGupta, Solving higher curvature gravity theories
Original
2016
Later among the works it cites.
P. Caate, L. G. Jaime, M. Salgado, Spherically symmetric black holes in f (R) gravity: Is geometric scalar hair supported?

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

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2010

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C. Eling, T. Jacobson, Spherical Solutions in Einstein-Aether Theory: Static Aether and Stars

2010

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S. Capozziello and M. De Laurentis, Extended Theories of Gravity