# Triple Path to the Exponential Metric

@article{Makukov2020TriplePT,
title={Triple Path to the Exponential Metric},
author={Maxim Makukov and Eduard G. Mychelkin},
journal={Foundations of Physics},
year={2020},
volume={50},
pages={1346 - 1355}
}
• Published 18 September 2020
• Physics
• Foundations of Physics
The exponential Papapetrou metric induced by scalar field conforms to observational data not worse than the vacuum Schwarzschild solution. Here, we analyze the origin of this metric as a peculiar space-time within a wide class of scalar and antiscalar solutions of the Einstein equations parameterized by scalar charge. Generalizing the three families of static solutions obtained by Fisher (Zhurnal Experimental’noj i Teoreticheskoj Fiziki 18:636, 1948), Janis et al. (Phys Rev Lett 20(16):878…
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## References

SHOWING 1-10 OF 17 REFERENCES

• Physics
• 2011
We study the stability of static, spherically symmetric solutions to the Einstein equations with a scalar field as the source. We describe a general methodology of studying small radial perturbations
(Foreword by translator.) The aim of present translation is to clarify the historically important question who was the pioneer in obtaining of exact static solutions of Einstein equations minimally
• Physics
Physical Review D
• 2018
The Janis-Newman-Winicour and Papapetrou metrics represent counterparts to the Schwarzschild black hole with scalar and antiscalar background fields, correspondingly (where "anti" is to be understood
• Physics
Physical Review D
• 2018
For various reasons a number of authors have mooted an "exponential form" for the spacetime metric: $ds^2 = - e^{-2m/r} dt^2 + e^{+2m/r}\{dr^2 + r^2(d\theta^2+\sin^2\theta \, d\phi^2)\}.$ While
• Physics
Physical Review D
• 2019
We show that the covariant Raychaudhuri identity describing kinematic characteristics of space-time admits a representation involving a geometrical scalar $\xi$ which, depending on circumstances,
A generally covariant scalar field theony of gravitation is presented. The principle of equivalence as well as the principle of gcneral covalance are preserved. A functional solution of Einstein's