Abstract
In this work, the Cosmic No-Hair Conjecture (CNHC) has been examined in the context of Randall–Sundrum type-II braneworld model. Instead of considering the usual anti-de Sitter bulk, a general form of the bulk matter has been taken into account. The effective Einstein equation on the brane has been derived. In order to obey the CNHC, some restrictions are obtained on the quadratic correction term as well as on the projected part of the bulk energy momentum tensor on the brane. It is found that for the validity of the conjecture on the brane, the bulk matter need not satisfy the standard energy conditions.
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