4.7 Article

Junction conditions and sharp gradients in generalized coupling theories

期刊

PHYSICAL REVIEW D
卷 105, 期 10, 页码 -

出版社

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.105.104036

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资金

  1. Fundacao para a Ciencia e a Tecnologia [PTDC/MAT-APL/30043/2017, UIDB/00099/2020]
  2. Japan Society for the Promotion of Science [17H02890, 17H06359]
  3. World Premier International Research Center Initiative, The Ministry of Education, Culture, Sports, Science and Technology, Japan
  4. Fundação para a Ciência e a Tecnologia [PTDC/MAT-APL/30043/2017] Funding Source: FCT

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In this article, we develop the formalism for singular hypersurfaces and junction conditions in generalized coupling theories using a variational approach. We then examine the behavior of sharp matter density gradients in generalized coupling theories. Through a detailed example, we find that sharp boundaries do not generate singularities in the dynamical frame despite the presence of an auxiliary field.
In this article, we develop the formalism for singular hypersurfaces and junction conditions in generalized coupling theories using a variational approach. We then employ this formalism to examine the behavior of sharp matter density gradients in generalized coupling theories. We find that such gradients do not necessarily lead to the pathologies present in other theories of gravity with auxiliary fields. A detailed example, based on a simple instance of a generalized coupling theory called the MEMe model, is also provided. In the static case, we show that sharp boundaries do not generate singularities in the dynamical frame despite the presence of an auxiliary field. Instead, in the case of a collapsing spherical density distribution with a general profile an additional force compresses over-densities and expands underdensities. These results can also be used to deduce additional constraints on the parameter of this model.

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