<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="normal">O</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>D</mml:mi><mml:mo>,</mml:mo><mml:mi>D</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math> -covariant formulation of perfect and imperfect fluids in the double geometry

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  • Eric Lescano
    University of Wroclaw, Faculty of Physics and Astronomy, Maksa Borna 9, 50-204 Wroclaw, Poland
  • Nahuel Mirón-Granese
    Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Godoy Cruz 2290, Ciudad de Buenos Aires C1425FQB, Argentina
  • Yuho Sakatani
    Department of Physics, Kyoto Prefectural University of Medicine, 1-5 Shimogamohangi-cho, Sakyo-ku, Kyoto 606-0823, Japan

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<jats:p>We study generic matter coupled to a <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>D</a:mi></a:math>-dimensional supergravity using a formulation of double field theory (DFT), where all the fields are encoded in <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mrow><c:mi mathvariant="normal">O</c:mi><c:mo stretchy="false">(</c:mo><c:mi>D</c:mi><c:mo>,</c:mo><c:mi>D</c:mi><c:mo stretchy="false">)</c:mo></c:mrow></c:math> multiplets. We study both the case when the matter comes from a variational principle, as well as the case where the matter comes from a statistical or thermodynamic approach. For the latter, we construct the distribution function for the perfect fluid and its entropy current, which is a conserved quantity. We then include general viscous and elastic terms in the generalized energy-momentum tensor which, in the general case, lead to entropy production. We consistently deform the conservation law of the generalized entropy current and identify a particular nondissipative deformation. Using the generalized fluid model, we revisit the issue of noncovariance of perfect fluids under T-dualities and we show how to resolve it in our DFT model with matter.</jats:p> <jats:sec> <jats:title/> <jats:supplementary-material> <jats:permissions> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2024</jats:copyright-year> </jats:permissions> </jats:supplementary-material> </jats:sec>

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  • Physical Review D

    Physical Review D 109 (8), 2024-04-04

    American Physical Society (APS)

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