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Experience to see if an accelerated observer detects radiation

Physics Asked on January 9, 2021

I will consider $textbf{spacetime}$ as $(M,eta)$ where $M$ is a four dimensional $textbf{manifold}$ and $eta$ the metric which in this coordinates
$$
begin{align*}
x colon M &longrightarrow mathbb{R}^4
p &mapsto x(p)=(x_0,x_1,x_2,x_3).
end{align*}
$$

is given by
$$eta=dx^0otimes dx^0-dx^1otimes dx^2-dx^2otimes dx^1-dx^3otimes dx^3 tag1$$

An $textbf{observer}$ is a worldline $gamma$ with together with a choice of basis
$
O=v_{gamma,gamma(lambda)} equiv e_0(lambda) , e_1(lambda), e_2(lambda), e_3(lambda)
$

of each tangent space $T_{gamma(lambda)}M$ where the observer worldline passes, if
$$
eta(e_a(lambda), e_b(lambda)) = eta_{ab} = left[ begin{matrix} 1 & & & & -1 & & & & -1 & & & & -1 end{matrix} right]_{ab} tag2
$$

where $v_{gamma,gamma(lambda)}$ is the tangent vector of the the curve $gamma$ at the point $gamma(lambda)$

Suppose that we have to observers $gamma$ and $gamma’$ such that in coordinates $x$ their worldlines are given by $gamma=(lambda,lambda,0,0)$, $gamma’=(lambda, cos (lambda) ,0,0)$ and so we have
$e_0=frac{partial}{partial x_0}, e_1=frac{partial}{partial x_1}$, $e_0’=frac{partial}{partial x_0},e_1’=sin (lambda)frac{partial}{partial x_1}$

Now let $F$ be the electromagnetic tensor the observer $gamma$ will measure the first component of the electric field as $$E_1=F(e_1,e_1)$$
and for the observer $gamma’$
$$E_1’=F(e_1′,e_1′)=sin^2 (lambda)E_1$$
As we see if an inertial observer $gamma$ sees a static field an accelerated observer $gamma’$ will see a variated field.
My question is, has any experience been made, to check if an accelerated observer, can absorb energy from the field by using of an antenna when a inertial observer can not ?

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