Hundreds of specialist officers are working around the clock to nail down the killer who repeatedly pummeled the mother-of-two over the head with a blunt weapon they couldn’t find.
Despite an extensive search operation, hours of hard work and door-to-door investigations, no one was arrested.
It is understood that cell phone GPS signal checks failed to identify a suspect – leading cops to believe he may have been deliberately kept at home to avoid detection.
It comes as Bethan James lit a candle on his mother and shared an emotional post on social media.
She wrote: “There is no farewell for us, wherever you are you will always be in my heart. “
She placed the blue candle next to a framed photo of Julia in the window of her home as thousands of supporters followed suit in a campaign.
Next to it was a white heart-shaped stone with “Those we love are always in our hearts” imprinted on it.
Julia, 53, was attacked while walking her dog in a remote Kent forest just 200 meters from her home on Tuesday afternoon.
A source told The Sun: “A week is a long time in a murder investigation.
“It is understood that the phone signal and extensive GPS checks failed to locate anything of note, leading them to suspect that he left it at the house on purpose.
“Phone data and analytics play a huge role in the vast majority of murder investigations.
“A huge effort is being made to find him.
“Not picking up a cell phone would suggest he is local as he would need to know the area. “
A Kent Police spokesperson said: ‘This is a live investigation and we are continuing to investigate to establish the circumstances.
“We will not be commenting or speculating on individual leads at this time.
“No updates are planned for today, but of course the press will be notified of any important updates if there are any.”
Julia’s cousin, Samantha Griffin, posted an impassioned Facebook post yesterday.
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She wrote: “She was walking her dog near her house. That’s all… and someone needs to know something about what happened.
“The person who made it walks in our streets and in your communities. So, let’s get up and make sure we overwhelm social media with his beautiful face in the hopes that we can get some information or the vile human who did that decides to hold his hand up above.
“Our family, friends and colleagues will not rest. “