Modified Hawking Mass and Geroch Monotonicity on 2-Surfaces

6th Asian Physics Symposium

Radjabaycolle, F.^1,2 ; Akbar, F.^1 ; Kosasih, J.^1 ; Gunara, B.^1

Theoretical Physics Laboratory, Theoretical High Energy Physics and Instrumentation Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jl. Ganesha 10, Bandung

40132, Indonesia^1

Department of Physics, Faculty of Mathematics and Natural Sciences, Universitas Cenderawasih, Jl. Kampwolker Kampus Uncen Baru Waena, Jayapura

99351, Indonesia^2

关键词: Mean curvature;    Monotonicity;    Monotonicity property;    Non-decreasing functions;    Scalar curvature;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/739/1/012046/pdf
DOI  :  10.1088/1742-6596/739/1/012046

来源: IOP

【 摘 要 】

In this paper, we study several aspects of the modified Hawking mass on 2-surface defined as mH? (σ;t)= ∼ R-H2+λdS where R, and Zλ are the scalar curvature of the surface σ, the mean curvature of the surface σ, and a constant, respectively. Finally, using Geroch approach we study the monotonicity properties of the Hawking mass and show that mH(σ) is a nondecreasing function of t.