Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local conditions for the generalized covariant entropy bound   A set of sufficient conditions for the generalized covariant entropy bound
given by Strominger and Thompson is as follows: Suppose that the entropy of
matter can be described by an entropy current $s^a$. Let $k^a$ be any null
vector along $L$ and $s\equiv -k^a s_a$. Then the generalized bound can be
derived from the following conditions: (i) $s'\leq 2\pi T_{ab}k^ak^b$, where
$s'=k^a\grad_a s$ and $T_{ab}$ is the stress energy tensor; (ii) on the initial
2-surface $B$, $s(0)\leq -{1/4}\theta(0)$, where $\theta$ is the expansion of
$k^a$. We prove that condition (ii) alone can be used to divide a spacetime
into two regions: The generalized entropy bound holds for all light sheets
residing in the region where $s<-{1/4}\theta$ and fails for those in the region
where $s>-{1/4}\theta$. We check the validity of these conditions in FRW flat
universe and a scalar field spacetime. Some apparent violations of the entropy
bounds in the two spacetimes are discussed. These holographic bounds are
important in the formulation of the holographic principle.

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The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin