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Radially symmetric scalar field solutions in the presence of cuscuton term

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arxiv 2502.20064 v1 pith:ZXCXREAG submitted 2025-02-27 hep-th

Radially symmetric scalar field solutions in the presence of cuscuton term

classification hep-th
keywords solutionscuscutonfieldtermenergymodelspresenceradially
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this work, we investigate radially symmetric solutions in arbitrary dimensions in scalar field models in the presence of the cuscuton term. We introduce a first-order formalism compatible with the equation of motion which supports field configurations engendering minimum energy and show that the cuscuton term does not induce instabilities in the solutions. To illustrate the general results, we study two distinct classes of models and present analytical solutions and the corresponding energy densities.

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