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We study the bound on the compactness of a stellar object in pure Lovelock theories of arbitrary order in arbitrary spacetime dimensions, involving electromagnetic field.
N. Dadhich, “Buchdahl compactness limit and gravitational field energy,” JCAP
1903
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1905
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1907
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1911
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H. A. Buchdahl, “General Relativistic Fluid Spheres,” Phys. Rev
1959
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N. Dadhich, “Black hole: Equipartition of matter and potential energy,” Curr. Sci
1999
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M. Mak, J. Dobson, Peter N., and T. Harko, “Maximum mass radius ratio for compact general relativistic objects in Schwarzschild-de Sitter geometry,” Mod. Phys. Lett. A
2000
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2000
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T. Harko and M. K. Mak, “Anisotropic charged fluid spheres in D space-time dimensions,” Journal of Mathematical Physics
2000
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D. Barraco and V. H. Hamity, “Maximum mass of a spherically symmetric isotropic star,” Phys. Rev. D
2002
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W.-Y. Ai, “A note on the novel 4D Einstein-Gauss-Bonnet gravity,” arXiv:2004.02858 [gr-qc]
2004
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2004
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2004
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2004
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2005
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C. Boehmer and T. Harko, “Minimum mass-radius ratio for charged gravitational objects,” Gen. Rel. Grav
2007
Cited alongside, same era.
H. Andreasson, “Sharp bounds on 2m/r of general spherically symmetric static objects,” J. Diff. Eq
2008
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2008
Cited alongside, same era.
S. Chakraborty, “Lanczos-Lovelock gravity from a thermodynamic perspective,” JHEP
2015
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2015
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M. Wright, “Buchdahl’s inequality in five dimensional Gauss–Bonnet gravity,” Gen. Rel. Grav
2016
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2016
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X. O. Camanho and N. Dadhich, “On Lovelock analogs of the Riemann tensor,” Eur. Phys. J. C
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2008
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C. A. Zarro, “Buchdahl limit for d-dimensional spherical solutions with a cosmological constant,” Gen. Rel. Grav
2009
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2010
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2012
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2012
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2014
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N. Dadhich, “The gravitational equation in higher dimensions,” Springer Proc. Phys
2014
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2016
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2016
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2016
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2017
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2017
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S. Chakraborty and N. Dadhich, “1/r potential in higher dimensions,” Eur. Phys. J. C
2018
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2018
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2018
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