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• W3136201553 abstract "In this work we derive the junction conditions for the matching between two spacetimes at a separation hypersurface in the perfect-fluid version of $f(R,T)$ gravity, not only in the usual geometrical representation but also in a dynamically equivalent scalar-tensor representation. We start with the general case in which a thin shell separates the two spacetimes at the separation hypersurface, for which the general junction conditions are deduced, and the particular case for smooth matching is considered when the stress-energy tensor of the thin shell vanishes. The set of junction conditions is similar to the one previously obtained for $f(R)$ gravity but features also constraints in the continuity of the trace of the stress-energy tensor ${T}_{ab}$ and its partial derivatives, which force the thin shell to satisfy the equation of state of radiation $ensuremath{sigma}=2{p}_{t}$. As a consequence, a necessary and sufficient condition for spherically symmetric thin shells to satisfy all the energy conditions is the positivity of its energy density $ensuremath{sigma}$. For specific forms of the function $f(R,T)$, the continuity of $R$ and $T$ ceases to be mandatory but a gravitational double layer arises at the separation hypersurface. The Martinez thin-shell system and a thin shell surrounding a central black hole are provided as examples of application." @default.
• W3136201553 created "2021-03-29" @default.
• W3136201553 creator A5078255318 @default.
• W3136201553 date "2021-05-28" @default.
• W3136201553 modified "2023-10-16" @default.
• W3136201553 title "Junction conditions and thin shells in perfect-fluid <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>f</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mi>R</mml:mi><mml:mo>,</mml:mo><mml:mi>T</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math> gravity" @default.
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• W3136201553 doi "https://doi.org/10.1103/physrevd.103.104069" @default.
• W3136201553 hasPublicationYear "2021" @default.
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