Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Decoupling of kinematical time dilation and gravitational time dilation
  in particular geometries   Two different forms of time dilation, namely, the kinematical time dilation
of special relativity and gravitational red shift are coupled during
observations of systems moving through a gravitational field. In the particular
situation of free fall in a Schwarzschild geometry these two effects are
decoupled and in consequence the time dilation, as observed by a distant
observer, factorises. Such a factorization is not a universal feature. We
define here a necessary and sufficient criterion for time dilation and
gravitational red-shift decoupling. This property is manifested in a particular
form of the Doppler shift in Schwarzschild geometry.

23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an