Rotating Charged Black Hole Solution in Heterotic String Theory

Physical Review Letters (Impact Factor: 7.51). 04/1992; 69(7). DOI: 10.1103/PhysRevLett.69.1006
Source: arXiv


We construct a solution of the classical equations of motion arising in the low energy effective field theory for heterotic string theory. This solution describes a black hole in four dimensions carrying mass $M$, charge $Q$ and angular momentum $J$. The extremal limit of the solution is discussed. Comment: 9 pages

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    • "Thereafter, numerous studies have been performed in the context of the heterotic string theory. For example, the solution described a black hole in four dimensions carrying mass, charge and angular momentum has been found in [3], where also the extremal limit of this solution is discussed . The same author constructed the general electrically charged, rotating black hole solution in the heterotic string theory compactified on a six-dimensional torus [4]. "
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    ABSTRACT: The motion of massive particles in the background of a charged black hole in heterotic string theory, which is characterized by a parameter α, is studied in detail in this paper. Since it is possible to write this space-time in the Einstein frame, we perform a quantitative analysis of the time-like geodesics by means of the standard Lagrange procedure. Thus, we obtain and solve a set of differential equations and then we describe the orbits in terms of the elliptic ℘-Weierstraß function. Also, by making an elementary derivation developed by Cornbleet (Am. J. Phys. 61(7):650–651, 1993) we obtain the correction to the angle of advance of perihelion to first order in α, and thus, by comparing with Mercury’s data we give an estimation for the value of this parameter, which yields an heterotic solar charge Q ⊙≃0.728 [Km]=0.493 M ⊙. Therefore, in addition to the study on null geodesics performed by Fernando (Phys. Rev. D 85:024033, 2012), this work completes the geodesic structure for this class of space-time.
    European Physical Journal C 11/2013; 73(12). DOI:10.1140/epjc/s10052-013-2659-4 · 5.08 Impact Factor
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    • "from which we obtain the non-extremal and extremal Bekenstein-Hawking entropy and Hawking temperature [40]: "
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    ABSTRACT: We compute the asymptotic symmetry group of the four dimensional near-extremal Kerr-Sen black hole within an AdS2/CFT1 correspondence. We do this by performing a Robinson-Wilczek two dimensional reduction and construct a quantum theory of the remaining field content. The resulting energy momentum tensor generates an asymptotic Virasoro algebra, to s-wave, with a calculable central extension. This center in conjunction with the proper regularized lowest Virasoro eigen-mode yields the near-extremal Kerr-Sen entropy via the statistical Cardy formula. Finally we analyze quantum holomorphic fluxes of the dual CFT giving rise to a finite Hawking temperature weighted by the central charge of the near-extremal Kerr-Sen metric.
    Journal of High Energy Physics 07/2013; 2013(10). DOI:10.1007/JHEP10(2013)144 · 6.11 Impact Factor
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    • "The torsion is usually (not necessarily) identified with matter fluxes appearing in the theories. For instance, the five-dimensional gauged minimal supergravity black hole [17] admits a rank-2 generalised CKY tensor when the torsion is identified with the Hodge dual of the Maxwell filed, T = * F / √ 3. It was also shown that the abelian heterotic supergravity black holes as well as their generalisation to higher dimensions [18] [19] [20] admit a rank-2 generalised CKY tensor. In this case, the torsion is identified with the 3-form field strength, T = H. "
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    ABSTRACT: Using a generalised Killing-Yano equation in the presence of torsion, spacetime metrics admitting a rank-2 generalised Killing-Yano tensor are investigated in five dimensions under the assumption that its eigenvector associated with the zero eigenvalue is a Killing vector field. It is shown that such metrics are classified into three types and the corresponding local expressions are given explicitly. It is also shown that they cover some classes of charged, rotating Kaluza-Klein black hole solutions of minimal supergravity and abelian heterotic supergravity.
    Classical and Quantum Gravity 12/2012; 30(7). DOI:10.1088/0264-9381/30/7/075013 · 3.17 Impact Factor
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