Galileons and Naked Singularities

R. C. Tolman, Relativity, Thermodynamics, and Cosmology

1987

Earlier work this paper cites.

D. B. Fairlie and J. Govaerts, “Euler hierarchies and universal equations” J. Math. Phys. 33 (1992) 3543-3566 [arXiv hep-th/9204074]; D. B. Fairlie and J. Govaerts, “Linearisation of Universal Field Equations” J. Phys. A26 (1993) 3339-3347 [arXiv:hep-th/9212005]; D. B. Fairlie, J. Govaerts, and A. Morozov “Universal field equations with covariant solutions” Nucl. Phys. B373 (1992) 214-232 [arXiv hep-th/9110022]

1992

Earlier work this paper cites.

M. W. Choptuik, “Universality and Scaling in Gravitational Collapse of a Massless Scalar Field” Phys. Rev. Lett 70 (1993) 9-12

1993

Earlier work this paper cites.

R. Penrose, “The Question of Cosmic Censorship” J. Astrophys. Astr. 20 (1999) 233–248

1999

Cited alongside, same era.

T. P. Singh, “Gravitational Collapse, Black Holes and Naked Singularities” J. Astrophys. Astr. 20 (1999) 221–232 [arXiv:gr-qc/9805066]

1999

Cited alongside, same era.

G. R. Dvali, G. Gabadadze, and M. Porrati, “4-D gravity on a brane in 5-D Minkowski space” Phys. Lett. B 485 (2000) 208 [arXiv:hep-th/0005016]; M. A. Luty, M. Porrati and R. Rattazzi, “Strong interactions and stability in the DGP model” JHEP 0309 (2003) 029 [arXiv:hep-th/0303116]; A. Nicolis and R. Rattazzi, “Classical and quantum consistency of the DGP model” JHEP 0406 (2004) 059 [arXiv:hep-th/0404159]

2004

Cited alongside, same era.

C. Charmousis, B. Goutéraux, and E. Kiritsis, “Higher-derivative scalar-vector-tensor theories: black holes, Galileons, singularity cloaking and holography” arXiv:1206.1499 [hep-th]

Original

Cited in the paper.

T Curtright and D Fairlie, “Geons of Galileons” arXiv:1206.3616 [hep-th]

Original

Cited in the paper.

C. de Rham, “Galileons in the Sky” arXiv:1204.5492 [astro-ph.CO]

Original

Cited in the paper.

Horizon-less solutions with naked singularities have also appeared in recent studies on solutions to higher dimensional Einstein equations in vacuum, suitable for describing intersecting brane solutions in string/M theory. In particular, see S. K. Rama, “Static brane–like vacuum solutions in D D ≥ 5 \geq 5 dimensional spacetime with positive ADM mass but no horizon” arXiv:1111.1897 [hep-th]

Original

Cited in the paper.

In the context of a different Galileon model, numerical evidence of naked singularities is also mentioned in passing by M. Rinaldi, “Galileon Black Holes” arXiv:1208.0103v1 [gr-qc]

Original

Cited in the paper.

R. Wald, “Gravitational Collapse and Cosmic Censorship” [arXiv:gr-qc/9710068]

Cited in the paper.

Figure 1 in the original version of this manuscript displayed the Schwarzschild metric for an erroneous mass (namely, M ≈ 0.36 M\approx 0.36 , rather than the correct value that is used here, M ≈ 0.21 M\approx 0.21 )

Cited in the paper.

K. S. Virbhadra, D. Narasimha, and S. M. Chitre, “Role of the scalar field in gravitational lensing” Astron. Astrophys. 337 (1998) 1-8; K. S. Virbhadra and G. F. R. Ellis, “Gravitational lensing by naked singularities” Phys. Rev. D 65 (2002) 103004; K. S. Virbhadra and C. R. Keeton, “Time delay and magnification centroid due to gravitational lensing by black holes and naked singularities” Phys. Rev. D 77 (2008) 124014, arXiv:0710.2333

Original

2008

Later among the works it cites.

C. Deffayet, S. Deser, and G. Esposito-Farese, “Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors” Phys. Rev. D80 (2009) 064015, arxiv:0906.1967 [hep-th]; C. Deffayet, G. Esposito-Farese, and A. Vikman, “Covariant Galileon” Phys. Rev. D79 (2009) 084003, arXiv:0901.1314 [hep-th]

Original

2009

Later among the works it cites.

D. Fairlie, “Comments on Galileons” J. Phys. A44 (2011) 305201, arXiv:1102.1594 [hep-th]

Original

2011

Later among the works it cites.