Fetching the paper…

Reading the bibliography…

2015

Buchdahl type inequalities in $d$-dimensions

Wright, Matthew

Original
PDF
Post on X

Understand

Spherically symmetric anisotropic static compact solutions to the Einstein equations in dimension $d\geq4$ are considered.

Various matter models are examined and upper bounds on the ratio of the gravitational mass to the radius in these different models are obtained.
Bounds are also generalised in the presence of a non-zero charge and a positive cosmological constant.
These bounds are then used to find the maximum of the gravitational redshift at the surface of the object.

Buchdahl type inequalities in $d$-dimensions · Around

Built on

H. A. Buchdahl, Phys. Rev. 116
1959
Earlier work this paper cites.
H. Bondi, Proc. Roy. Soc. Lond. A 282
1964
Earlier work this paper cites.
P. S. Florides, Proc. Roy. Soc. Lond. A 337
1974
Earlier work this paper cites.
R. C. Myers and M. J. Perry, Annals Phys. 172
1986
Earlier work this paper cites.
D. Y. Xu, Class. Quant. Grav. 5
1988
Earlier work this paper cites.
T. W. Baumgarte and A. D. Rendall, Class. Quant. Grav. 10
1993
Earlier work this paper cites.
M. Mars, M. M. Martin-Prats and J. M. M. Senovilla, Phys. Lett. A 218
1996
Earlier work this paper cites.
J. Guven and N. O’Murchadha, Phys. Rev. D 60
1999
Earlier work this paper cites.

Similar

M. K. Mak, P. N. Dobson, Jr. and T. Harko, Mod. Phys. Lett. A 15
2000
Cited alongside, same era.
T. Harko and M. K. Mak, Journal of Mathematical Physics 41
2000
Cited alongside, same era.
J. Ponce de Leon and N. Cruz, Gen. Rel. Grav. 32
2000
Cited alongside, same era.
C. G. Boehmer, Gen. Rel. Grav. 36
2004
Cited alongside, same era.
C. G. Boehmer and T. Harko, Phys. Lett. B 630
2005
Cited alongside, same era.
A. Balaguera-Antolinez, C. G. Boehmer and M. Nowakowski, Int. J. Mod. Phys. D 14
2005
Cited alongside, same era.
C. G. Boehmer and T. Harko, Class. Quant. Grav. 23
2006

Then

H. Andreasson, J. Diff. Eq. 245
2008
Later among the works it cites.
P. Karageorgis and J. G. Stalker, Class. Quant. Grav. 25
Original
2008
Later among the works it cites.
H. Andreasson and C. G. Boehmer, Class. Quant. Grav. 26
Original
2009
Later among the works it cites.
H. Andreasson, Commun. Math. Phys. 288
Original
2009
Later among the works it cites.
C. A. D. Zarro, Gen. Rel. Grav. 41
2009
Later among the works it cites.
H. Andreasson, M. Eklund and G. Rein, Class. Quant. Grav. 26
Original

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Cited alongside, same era.

H. Andreasson, Commun. Math. Phys. 274

2007

Cited alongside, same era.

M. Wright, arXiv:1507.05560 [gr-qc]

Cited in the paper.

2009

Later among the works it cites.

H. Andreasson, C. G. Boehmer and A. Mussa, Class. Quant. Grav. 29

2012

Later among the works it cites.