4,747 research outputs found
Microscopic structures and thermal stability of black holes conformally coupled to scalar fields in five dimensions
Completely from the thermodynamic point of view, we explore the microscopic
character of a hairy black hole of Einstein's theory conformally coupled to a
scalar field in five dimensions by means of the Ruppeiner thermodynamic
geometry. We demonstrate that the scalar hairy black hole has rich microscopic
structures in different parameter spaces. Moreover, we analyze the thermal
stability of this black hole in detail.Comment: v1: 15 pages, 1 figure; v2: 19 pages, clarifications and references
added; v3: clarifications and references added; v4: 21 pages, clarifications
added; v5: minor clarifications and one reference added, final version to
appear in Nuclear Physics
Hawking Radiation of Five-dimensional Charged Black Holes with Scalar Fields
We investigate the Hawking radiation cascade from the five-dimensional
charged black hole with a scalar field coupled to higher-order Euler densities
in a conformally invariant manner. We give the semi-analytic calculation of
greybody factors for the Hawking radiation. Our analysis shows that the Hawking
radiation cascade from this five-dimensional black hole is extremely sparse.
The charge enhances the sparsity of the Hawking radiation, while the
conformally coupled scalar field reduces this sparsity.Comment: v1: 11 pages, 2 figures, 2 tables; v2: 12 pages, references and
clarifications added, final version to appear in Phys. Lett.
General expressions for the Moore-Penrose inverse of a 2 × 2 block matrix
AbstractThe Moore-Penrose inverse of a 2 × 2 block matrix M = m=acbd is discussed. General expressions for the Moore-Penrose inverse for the block matrix M in terms of the individual blocks A, B, C, D are delivered without any restrictions imposed. Under some conditions, the Moore-Penrose inverse can be simplified. The results extend earlier work by various authors
ON THE COMPLEMENTARY PATH BETWEEN CHINESE TEACHING AND MENTAL HEALTH EDUCATION IN HIGHER VOCATIONAL COLLEGES
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