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  • Gaussian null coordinates, near-horizon geometry and conserved charges on the horizon of extremal nondilatonic black p-braves [Elektronski vir]
    Cvetič, Mirjam ; Porfirio, Paulo J. ; Satz, Alejandro
    In this paper, we examine the emergence of conserved charges on the horizon of a particular class of extremal nondilatonic black p-branes (which reduce to extremal dilatonic black holes in D = 4 ... dimensions upon toroidal compactification) in the presence of a probe massless scalar field in the bulk. This result is achieved by writing the black p-brane geometry in a Gaussian null coordinate system which allows us to get a non-singular near-horizon geometry description. We find that the near horizon geometry is AdS(p+2) x S-2 and that the AdS(p+2) section has an internal structure which can be seen as a warped product of AdS(2) x S-P in Gaussian null coordinates. We show that the bulk scalar field satisfying the field equations is expanded in terms of nonnormalizable and normalizable modes, which for certain suitable quantization conditions are well-behaved at the boundary of AdS(p+2) space. Furthermore, we show that picking the normalizable modes results in the existence of conserved quantities on the horizon. We discuss the impact of these conserved quantities in the late-time regime.
    Vir: International journal of modern physics D [Elektronski vir]. - ISSN 1793-6594 (Vol. 29, issue 11, art. 2041004, okt. 2020, 17 str.)
    Vrsta gradiva - prispevek na konferenci ; neleposlovje za odrasle
    Leto - 2020
    Jezik - angleški
    COBISS.SI-ID - 56582403
    DOI

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