Abstract
AbstractThe special Buchdahl-inspired metric obtained in a recent paper [Phys. Rev. D 107, 104008 (2023)] describes asymptotically flat spacetimes in pure $$\mathcal {R}^{2}$$
R
2
gravity. The metric depends on a new (Buchdahl) parameter $$\tilde{k}$$
k
~
of higher-derivative characteristic, and recovers the Schwarzschild metric when $$\tilde{k}=0$$
k
~
=
0
. It is shown that the special Buchdahl-inspired metric supports a two-way traversable Morris–Thorne wormhole for $$\tilde{k}\in (-1,0)$$
k
~
∈
(
-
1
,
0
)
in which case the Weak Energy Condition is formally violated, a naked singularity for $$\tilde{k}\in (-\infty ,-1)\cup (0,+\infty )$$
k
~
∈
(
-
∞
,
-
1
)
∪
(
0
,
+
∞
)
, and a non-Schwarzschild structure for $$\tilde{k}=-1$$
k
~
=
-
1
.
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous),Engineering (miscellaneous)
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