Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chen-Nester-Tung quasi-local energy and Wang-Yau quasi-local mass   In this paper, we show that the Chen-Nester-Tung (CNT) quasi-local energy is
closely related to the Wang-Yau (WY) quasi-local mass. As a particular example,
we compute the second variation of the CNT quasi-local energy for axially
symmetric Kerr-like spacetimes with axially symmetric embeddings at the obvious
critical point (0,0) and find that it is a saddle critical point in most of the
cases. Also, as a byproduct, we generalize a previous result about the
coincidence of CNT quasi-local energy and Brown-York mass for Kerr-like
spacetimes by Tam and the first author to general spacetimes.

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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: physics
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex