How big a bump can you make on a neutron star?

Physics

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Scientific paper

I estimate maximum elastic deformations for compact stars with exotic equations of state. Solid strange stars could sustain maximum ellipticities of 5x10-5 rather than 6x10-8 for conventional neutron stars, and hybrid stars could sustain 1x10-6. Most of the difference is due to the shear modulus, which can be up to 10^33 erg/cm^3 rather than 10^30 erg/cm^3 in the inner crust of a conventional neutron star. Maximum solid strange star ellipticities are comparable to upper limits obtained for several known pulsars in a recent gravitational wave search by LIGO. Maximum ellipticities from the more robust hybrid model are on the edge of detectability by LIGO at initial design sensitivity for the same pulsars. A large shear modulus also strengthens the case for starquakes as an explanation for frequent pulsar glitches.

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