Unaccelerated-returning-twin paradox in flat space-time

Journal Article · Sat Sep 15 04:00:00 EDT 1973 · Phys. Rev., D, v. 8, no. 6, pp. 1662-1666

DOI:https://doi.org/10.1103/PhysRevD.8.1662· OSTI ID:4371729

Brans, C H; Stewart, D R

The twin paradox in a flat space-time which is spatially closed on itseif is considered. In such a universe, twin B can move with constant velocity away from twin A and yet return younger than A. This paradox cannot be resolved in the usual way since neither twin is accelerated or locally subject to other than flat Minkowski geometry. Thus there are no obvious kinematic, dynamic, or geometric distinctions between the two and yet one experimentally verifies that moving clocks are slowed while the other does not. A global analysis leads to the conclusion that the description of the topology of this universe has imposed a preferred state of rest so that the principle of special relativity, although locally valid, is not globally applicable. (auth) l4569 lt is proved that in the Tomimatsu-Sato solution (Phys. Rev. Lett. 29: 1344 (1972) to Einstein's vacuum field equation, the surface x = 1 of the odd- delta metrics is an event horizon. It is suggested that the discovery of the T-S metrics with odd delta seems to have revealed a new possible type of black holes, that is, the coexistence of a nonsingular event horizon and naked (ringlike) singularities. (LBS)

• Research Organization: Physics Department, Loyola University, New Orleans, Louisiana 70118
• Sponsoring Organization: USDOE
• NSA Number: NSA-29-014568
• OSTI ID: 4371729
• Journal Information: Phys. Rev., D, v. 8, no. 6, pp. 1662-1666, Journal Name: Phys. Rev., D, v. 8, no. 6, pp. 1662-1666; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

*RELATIVITY THEORY-- SPACE-TIME
METRICS
MINKOWSKI SPACE
N76300* --Physics (Theoretical)--Gravitation & General Relativity
TOPOLOGY