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黑洞Bekenstein-Hawking 熵的统计力学起源

批准号19975018 学科分类经济发展与贸易 ( G0304 )
项目负责人彭水军 负责人职称 依托单位湖南师范大学
资助金额0.00
万元
项目类别青年科学基金项目 研究期限2000 年 01 月 01 日 至
2002 年 12 月 01 日
中文主题词黑洞; 熵; 量子场论
英文主题词Black hole; Entropy; Quantum field theory

摘要

中文摘要 对研究黑洞 Bekenstein-Hawking熵的多种方法进行了综合分析、比较和改进,找出了用各种方法得到的熵的真实物理意义。讨论了各种静态、稳态黑洞和各种量子物质场,如标量场、电磁场、Dirac场、Rarita-Schwinger场及引力扰动对黑洞熵的影响。得到了对一般黑洞都成立的普适结果,即在单圈量子修正近似下,一般黑洞的统计力学熵与其热力学熵的表达式一致。由于在研究中仅用了一般稳态轴对称时空度规以及该度规描述的物体是黑洞的必要条件。因此,所得结果不仅适用于已知的稳态轴对称黑洞,而且,当考虑量子场对引力场反作用时,只要反作用不改变时空的对称结构,所得到的结论依然成立。该项目的研究结果为黑洞Bekenstein-Hawking熵的统计力学起源研究提供了重要线索。
英文摘要 The real physical means of the entropies which are obtained by using various of methods, such as ``brick wall" model, Euclidean path integral method, heat kernel approach, covariant phase technique are found by analyzing, comparing and improving these approaches to study black hole Bekenstein-Hawking entropy. The quantum correction to entropies of the static and stationary black holes due to the scalar, electromagnetic, Dirac, Rarita-Schwinger fields and gravitational perturbation are investigated. The universal result for general black hole is found, that is, by adjusting the regulators, we can set the statistical-mechanical entropy of the general stationary axisymmetric black hole equal to the thermodynamical entropy since the statistical-mechanical entropy is related to the regulators. We should note that we only use the most general metric for the stationary axisymmetric spacetime and the conditions that the object described by the metric is a black hole in calculations of the statistical-mechanical and thermodynamic entropy. Therefore, the results are valid not only for static and stationary axisymmetric black holes that we have known, but also for the case that the quantum field possesses the back reaction to the gravitational field so long as the back reaction does not affect the symmetry of the spacetime. Therefore, the results obtained in this project present an important clue for the statistical explanation of the black hole Bekenstein-Hawking entropy.
结题摘要 建立起能正确描述黑洞bekenstein-hawking 熵与微观力学自由度关系的研究方法。用黑洞浞醋饔枚允笨詹伪淅垂叵址醋饔枚造氐挠跋炜悸恰G蟪龊诙捶浞醋饔糜跋臁⑹视糜诰蔡忍诙春土孔游镏食〉撵氐谋泶锸健S纱颂街诙挫厥怯赡男┪⒐哿ρё杂啥纫鸬模佣羁汤斫庖ξ锢硌е凶钪匾治唇饩龅暮诙碽ekens tein-hawking 熵的统计ρ鹪础

成果

序号 标题 类型 作者
1 Entropies of rotating charged black hole from conformal field theory at Killing horizon, 期刊 荆继良 闫沐霖|
2 Entropy and topology of the Kerr-de Sitter black hole 期刊 陈松柏 荆继良|
3 Quasilocal energy for stationary axisymmetric EMDA black hole 期刊 王世良 荆继良|
4 Quasilocal energy for static charged black hole in string theory 期刊 王世良 荆继良|

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