Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tensor stability in Born-Infeld determinantal gravity   We consider the transverse-traceless tensor perturbation of a spatial flat
homogeneous and isotropic spacetime in Born-Infeld determinantal gravity, and
investigate the evolution of the tensor mode for two solutions in the early
universe. For the first solution where the initial singularity is replaced by a
regular geometric de Sitter inflation of infinite duration, the evolution of
the tensor mode is stable for the parameter spaces $\alpha<-1$,
$\omega\geq-1/3$ and $\alpha=-1$, $\omega>0$. For the second solution where the
initial singularity is replaced by a primordial brusque bounce, which suffers a
sudden singularity at the bouncing point, the evolution of the tensor mode is
stable for all regions of the parameter space. Our calculation suggests that
the tensor evolution can hold stability in large parameter spaces, which is a
remarkable property of Born-Infeld determinantal gravity. We also constrain the
theoretical parameter $|\lambda|\geq 10^{-38} \text{m}^{-2}$ by resorting to
the current bound on the speed of the gravitational waves.

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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: econ
11
The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: nlin