Mathew had committed suicide after he purportedly figured in an expose by a news portal over alleged abuse of the "buddy" (orderly) system in the army.
District and Sessions Judge M S Pathan rejected the applications of Poonam Agrawal, a journalist with a news portal, and retired army officer Deepchand Kashmirsing yesterday after the court was informed that they needed to be arrested to get more information in connection with the case.
The prosecution told the court that it was necessary to impound the camera and the memory card used by Agarwal in carrying out the sting operation by entering an army area illegally.
The jawan had hanged himself after a video on the "abuse" of buddy system surfaced which showed soldiers, working as 'sahayaks', walking dogs of senior officials or taking their children to school.
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Mathew had gone missing on February 25 soon after the video became public and his body was found in a decomposed state in a barrack at Deolali's Heig Line on March 2.
Agrawal was also booked for violating army rules by entering prohibited areas and conducting a shoot there without permission.
She was also charged under sections 306 (abetment of suicide), 451 (criminal trespass), 500 (defamation) and 34 (common intention) of the IPC.