Abstract
Compact stars having strong magnetic fields (magnetars) have been observationally determined to have surface magnetic fields of order of 10^14-10^15 G, the implied internal field strength being several orders larger. We study the equation of state and composition of hypernuclear matter and quark matter - two forms of dense matter in strong magnetic fields. We find that the magnetic field has substantial influence on the properties of hypernuclear matter and quark matter for magnetic field B \ge 10^17 G and B \ge 10^18 G respectively. In particular the matter properties become anisotropic. Moreover, above a critical field B_cr, both hypernuclear and quark matter show instability, although the values of B_cr are different for two kinds of matter.
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