Abstract
A new exact solution of embedding class I is presented for a relativistic anisotropic massive fluid sphere. The new exact solution satisfies Karmarkar condition, is well-behaved in all respects, and therefore is suitable for the modelling of superdense stars. Consequently, using this solution, we have studied in detail two compact stars, namely, XTE J1739-289 (strange star $$1.51M_{\odot }$$ , 10.9 km) and PSR J1614-2230 (neutron star $$1.97M_{\odot }$$ , 14 km). The solution also satisfies all energy conditions with the compactness parameter lying within the Buchdahl limit.
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