TY - JOUR

T1 - Gas density profile in dark matter halo in chameleon cosmology

AU - Terukina, Ayumu

AU - Yamamoto, Kazuhiro

PY - 2012/11/5

Y1 - 2012/11/5

N2 - We investigate the gas density, temperature, and pressure profiles in a dark matter halo under the influence of the chameleon force. We solve the hydrostatic equilibrium equation for the gas coupled with the chameleon field in an analytic manner, using an approximate solution for the chameleon field equation with the source term, with a generalized Navarro-Frenk-White universal density profile. We find that the gas distribution becomes compact because a larger pressure gradient is necessary due to the additional chameleon force. By confronting the theoretical prediction with the data of the temperature profile of the Hydra A cluster according to Suzaku x-ray observations out to the virial radius, we demonstrate that a useful constraint on a model parameter can be obtained depending on the value of the coupling constant. For example, the upper bound of the background value of chameleon field, ∞<10 -4M Pl, is obtained in the case β=1, where β is the coupling constant between the chameleon field and the matter, and M Pl is the Planck mass. However, the error of the present data is not so small that we obtain a useful constraint in the case β=1/√6, which corresponds to an f(R) model.

AB - We investigate the gas density, temperature, and pressure profiles in a dark matter halo under the influence of the chameleon force. We solve the hydrostatic equilibrium equation for the gas coupled with the chameleon field in an analytic manner, using an approximate solution for the chameleon field equation with the source term, with a generalized Navarro-Frenk-White universal density profile. We find that the gas distribution becomes compact because a larger pressure gradient is necessary due to the additional chameleon force. By confronting the theoretical prediction with the data of the temperature profile of the Hydra A cluster according to Suzaku x-ray observations out to the virial radius, we demonstrate that a useful constraint on a model parameter can be obtained depending on the value of the coupling constant. For example, the upper bound of the background value of chameleon field, ∞<10 -4M Pl, is obtained in the case β=1, where β is the coupling constant between the chameleon field and the matter, and M Pl is the Planck mass. However, the error of the present data is not so small that we obtain a useful constraint in the case β=1/√6, which corresponds to an f(R) model.

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U2 - 10.1103/PhysRevD.86.103503

DO - 10.1103/PhysRevD.86.103503

M3 - Article

AN - SCOPUS:84868586624

VL - 86

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 10

M1 - 103503

ER -