We discuss the relation between the concentration of the Brown-York mass and the formation of trapped surfaces in nonspherical massive systems. In particular, we formulate and prove a precise version of the Thorne hoop conjecture in conformally flat three-geometries sliced by equipotential foliation leaves. An intriguing relationship between the total rest mass and the Brown-York mass is shown. This is a further investigation of the previous work on the Brown-York mass hoop conjecture in spherical symmetry.
机构:
Peking Univ, Sch Math Sci, Key Lab Pure & Appl Math, Beijing 100871, Peoples R ChinaPeking Univ, Sch Math Sci, Key Lab Pure & Appl Math, Beijing 100871, Peoples R China
Shi, Yuguang
Tam, Luen-Fai
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Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China
Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R ChinaPeking Univ, Sch Math Sci, Key Lab Pure & Appl Math, Beijing 100871, Peoples R China
机构:
Jinan Univ, Dept Math, Guangzhou 510632, Guangdong, Peoples R ChinaJinan Univ, Dept Math, Guangzhou 510632, Guangdong, Peoples R China
Fan, Xu-Qian
Shi, Yuguang
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Peking Univ, Sch Math Sci, Key Lab Pure & Appl Math, Beijing 100871, Peoples R ChinaJinan Univ, Dept Math, Guangzhou 510632, Guangdong, Peoples R China
Shi, Yuguang
Tam, Luen-Fai
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机构:
Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China
Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R ChinaJinan Univ, Dept Math, Guangzhou 510632, Guangdong, Peoples R China
机构:
Monash Univ, Sch Math Sci, Clayton, Vic 3800, AustraliaMonash Univ, Sch Math Sci, Clayton, Vic 3800, Australia
Miao, Pengzi
Shi, Yuguang
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Peking Univ, Sch Math Sci, Key Lab Pure & Appl Math, Beijing 100871, Peoples R ChinaMonash Univ, Sch Math Sci, Clayton, Vic 3800, Australia
Shi, Yuguang
Tam, Luen-Fai
论文数: 0引用数: 0
h-index: 0
机构:
Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China
Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R ChinaMonash Univ, Sch Math Sci, Clayton, Vic 3800, Australia