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Stiff phases in strongly coupled gauge theories with holographic duals

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arxiv 1707.00521 v1 pith:CIXXCXVQ submitted 2017-07-03 hep-th astro-ph.HEnucl-th

Stiff phases in strongly coupled gauge theories with holographic duals

classification hep-th astro-ph.HEnucl-th
keywords holographicstarsstatedualsequationssoundspeedstiff
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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According to common lore, Equations of State of field theories with gravity duals tend to be soft, with speeds of sound either below or around the conformal value of $v_s=1/\sqrt{3}$. This has important consequences in particular for the physics of compact stars, where the detection of two solar mass neutron stars has been shown to require very stiff equations of state. In this paper, we show that no speed limit exists for holographic models at finite density, explicitly constructing examples where the speed of sound becomes arbitrarily close to that of light. This opens up the possibility of building hybrid stars that contain quark matter obeying a holographic equation of state in their cores.

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