Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Free-fall energy density and flux in the Schwarzschild black hole   In the four-dimensional background of Schwarzschild black hole, we
investigate the energy densities and fluxes in the freely falling frames for
the Boulware, Unruh, and Israel-Hartle-Hawking states. In particular, we study
their behaviors near the horizon and asymptotic spatial infinity by using the
trace anomaly of a conformally invariant scalar field. In the Boulware state,
both the energy density and flux are negative divergent when the observer is
dropped at the horizon, and asymptotically vanish. In the Unruh state, the
energy density is also negative divergent at the horizon while it is positive
finite asymptotically. The flux in the Unruh state is always positive and
divergent at the horizon. In the Israel-Hartle-Hawking state, the energy
density depends on the angular motion of free fall, and fluxes vanish at the
horizon and the spatial infinity. Finally, we discuss the role of the negative
energy density near the horizon in the evaporating black hole.

29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn