Fetching the paper…

Reading the bibliography…

2014

Nonlinear effects of general relativity from multiscale structure

Korzyński, Mikołaj

Original
PDF
Post on X

Understand

When do the nonlinear effects of general relativity matter in astrophysical situations? They are obviously relevant for very compact sources of the gravitational field, such as neutron stars or black holes.

In this paper I discuss another, less obvious situation, in which large relativistic effects may arise due to a complicated, multiscale structure of the matter distribution.
I present an exact solution with an inhomogeneous energy density distribution in the form of a hierarchy of nested voids and overdensities of various sizes, extending from the homogeneity scale down to arbitrary small scales.
I show that although each of the voids and overdensities seems to be very weakly relativistic, and thus easy to describe using the linearized general relativity, the solution taken as a whole lies in fact in the nonlinear regime.

Nonlinear effects of general relativity from multiscale structure · Around

Built on

Isaacson R A 1968 Physical Review
1968
Earlier work this paper cites.
Isaacson R A 1968 Physical Review
1968
Earlier work this paper cites.
Misner C W, Thorne K S and Wheeler J A 1973 Gravitation
1973
Earlier work this paper cites.
Boyd D W 1973 Canadian Journal of Mathematics
1973
Earlier work this paper cites.
Boyd D W 1973 Mathematics of Computation
1973
Earlier work this paper cites.
Mandelbrot B B 1983 The Fractal Geometry of Nature
1983
Earlier work this paper cites.
Burnett G A 1989 Journal of Mathematical Physics
1989
Earlier work this paper cites.

Similar

Borkovec M, de Paris W and Peikert R 1994 Fractals
1994
Cited alongside, same era.
Alécian E and Morsink S M 2004 The Astrophysical Journal
2004
Cited alongside, same era.
Ishibashi A and Wald R M 2006 Classical and Quantum Gravity
2006
Cited alongside, same era.
Ishibashi A and Wald R M 2006 Class.Quant.Grav
2006
Cited alongside, same era.
Buchert T 2008 Gen.Rel.Grav
2008
Cited alongside, same era.
Wald R 2010 General Relativity
2010
Cited alongside, same era.
Clarkson C, Ellis G, Larena J and Obinna U 2011 Rep. Prog. Phys
2011
Cited alongside, same era.

Then

Green S R and Wald R M 2011 Phys.Rev
2011
Later among the works it cites.
Horvath I, Hakkila J and Bagoly Z 2013 ( Preprint
2013
Later among the works it cites.
Green S R and Wald R M 2014 ( Preprint
2014
Closest in time.
Korzyński M 2014 Classical and Quantum Gravity
2014
Closest in time.
Clifton T 2014 Class.Quant.Grav
2014
Closest in time.
Buchert T, Ellis G F and Elst H 2009 General Relativity and Gravitation
2030
Closest in time.

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…