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We calculate $\\delta_{c}(z_{c})$, $\\lambda(z_{c})$, $\\xi(z_{c})$, $\\Delta_{V}(z_{c})$, $\\log [\\nu f(\\nu)]$ and $\\log [n(k)]$ for the tachyon scalar field model and compare the results with the results of EdS model and $\\Lambda CDM$ model. It is shown that in the tachyon scalar field model the structure form"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1607.05318","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-07-18T20:41:54Z","cross_cats_sorted":[],"title_canon_sha256":"9b6bc3d554e7e573a448e4fd02be7469c42264354aa2885c9f031ec88d0ffba4","abstract_canon_sha256":"f8f2e395bcaae69c050bef6ebfa90f4a6e1c5d43718b5efc1712a36e95bbef01"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:01.796654Z","signature_b64":"6wEtitCwtMQHGQm5xpNdenHo6jgKDpGLVSop5W3mEo6O/mn5myWgEG2eOBMzEgRIUqUuEPY+StESsIQKwUUrAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad3bc7ba0d8332591a4b5797d9c756b271a4d0ca0a3437cbc51e20fd0e415e59","last_reissued_at":"2026-05-18T00:37:01.796057Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:01.796057Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Evolution of spherical over-densities in tachyon scalar field model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"F. Darabi, F. Felegary, M. R. Setare","submitted_at":"2016-07-18T20:41:54Z","abstract_excerpt":"We study the tachyon scalar field model in flat FRW cosmology with the particular potential $\\phi^{-2}$ and the scale factor behavior $a(t)=t^n$. We consider the spherical collapse model and investigate the effects of the tachyon scalar field on the structure formation in flat FRW universe. We calculate $\\delta_{c}(z_{c})$, $\\lambda(z_{c})$, $\\xi(z_{c})$, $\\Delta_{V}(z_{c})$, $\\log [\\nu f(\\nu)]$ and $\\log [n(k)]$ for the tachyon scalar field model and compare the results with the results of EdS model and $\\Lambda CDM$ model. 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