Saddle stresses for generic theories with a preferred acceleration scale - INSPIRE

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Saddle stresses for generic theories with a preferred acceleration scale

Apr, 2012

5 pages

Published in:

Phys.Rev.D 86 (2012) 123518

e-Print:

1204.6663 [astro-ph.CO]

DOI:

10.1103/PhysRevD.86.123518

Report number:

IMPERIAL-TP-2012-AMJM

View in:

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Abstract: (arXiv)

We show how scaling arguments may be used to generate templates for the tidal stresses around saddles for a vast class of MONDian theories {\it detached from their obligations as dark matter alternatives}. Such theories are to be seen simply as alternative theories of gravity with a preferred acceleration scale, and could be tested in the solar system by extending the LISA Pathfinder (LPF) mission. The constraints thus obtained may then be combined, if one wishes, with requirements arising from astrophysical and cosmological applications, but a clear separation of the issues is achieved. The central technical content of this paper is the derivation of a scaling prescription allowing complex numerical work to be bypassed in the generation of templates. We find that LPF could constrain very tightly the acceleration

a_0

and the free parameter

\kappa

present in these theories. As an application of our technique we also produce predictions for the moon saddle (for which a similar scaling argument is applicable) with the result that we recommend that it should be included in orbit design.

Note:

Analysis of the lunar saddle added to version to appear in Physical Review D

04.50.Kd
04.80.Cc
solar system
dark matter
LISA
MOND
gravitation: model
gravitational radiation

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Figures(5)

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