Tachyonic models of dark matter (1601.06772v1)

Abstract: We consider a spherically symmetric stationary problem in General Relativity, including a black hole, inflow of normal and tachyonic matter and outflow of tachyonic matter. Computations in a weak field limit show that the resulting concentration of matter around the black hole leads to gravitational effects equivalent to those associated with dark matter halo. In particular, the model reproduces asymptotically constant galactic rotation curves, if the tachyonic flows of the central supermassive black hole in the galaxy are considered as a main contribution.

• The paper hypothesizes that tachyonic matter inflow and outflow near black holes could replicate gravitational effects usually attributed to dark matter, such as galactic rotation curves.
• Using a weak field approximation within General Relativity, the model shows that the gravitational potential from tachyonic flows can induce constant galactic rotation curves.
• This work offers a novel theoretical approach to the dark matter problem by suggesting tachyonic contributions might explain observations without invoking exotic new particles, opening avenues for future research.

An Analysis of Tachyonic Models of Dark Matter

The paper "Tachyonic models of dark matter" by Igor Nikitin presents an intriguing hypothesis on the potential role of tachyonic matter in replicating gravitational effects typically attributed to dark matter halos around black holes. Utilizing a model grounded in General Relativity, the work suggests that the inflow and outflow of tachyonic matter in the vicinity of supermassive black holes could lead to observable gravitational dynamics similar to those seen in galactic rotation curves.

Theoretical Framework

Nikitin's investigation begins with the fundamental supposition that tachyons, particles that travel faster than the speed of light, might populate the universe as dark matter. The model introduces a scalar field with an action dependent on potential function $V(T)$ and a tachyonic component $\nabla_{\mu} T \nabla^{\mu} T$. It proposes that, under specific conditions and parameter tuning, the resulting energy-momentum distribution aligns with standard Big Bang cosmology, potentially explaining the universe’s accelerating expansion.

Building on prior works, the author considers geodesic flows of both normal and tachyonic particles, assessing their impact under the influence of a spherically symmetric black hole. Nikitin posits that high-energy processes near the event horizon may convert normal matter into tachyons, with these tachyons possibly escaping the black hole along spacelike trajectories. The tachyonic matter, therefore, contributes gravitational asymmetries akin to those produced by dark matter.

Numerical and Analytical Results

Adopting a weak field approximation, the paper derives expressions for the metric deviations caused by the tachyonic flows. A key result shows that the resultant potential could induce constant galactic rotation curves, a significant characteristic commonly used to argue the presence of dark matter. The model achieves this by demonstrating an increase in orbital velocity that does not diminish with radius from the galactic center.

The parametric constraints derived for the energy-momentum tensor indicate conditions where tachyonic distributions could achieve equilibrium and replicate observed galactic dynamics. Nikitin also explores various tachyonic configurations, like symmetric tachyonic flows and "tachyonic monopoles," detailing the geometric and metric implications of each.

Implications and Speculative Outlook

If the model holds empirical credibility, it offers a compelling lens to view the longstanding dark matter problem. Tachyonic contributions provide a novel angle to account for dark matter phenomena without invoking exotic new particles or heavily modifying gravitational theory.

The paper suggests multiple pathways for future research. Extending the model beyond weak field assumptions may probe behaviors near singularities and could illuminate black hole-dominated regions. Similarly, incorporating tachyonic flows in simulations of cosmic structures may augment understanding of large-scale matter distribution.

Nikitin’s work delineates a potential model where tachyonic mechanics manifest as cosmic networks of matter, potentially bridging disparate astrophysical phenomena within a unified framework. While the necessity of direct interactions raises questions on causal implications, the gravitational effects alone provide fertile ground for exploration. The broader cosmic architecture hinted at—where tachyonic filaments potentially interconnect black holes and other cosmic entities—invites comprehensive analytical and numerical studies to map this interconnectivity.

In conclusion, the "Tachyonic models of dark matter" offers a rigorous theoretical modification to standard cosmological models, embedding tachyonic flows within a framework potentially validating observations of galactic rotation without contradicting established physics. The work serves as an invitation for further inquiry into tachyonic models and their astrophysical applications, promising diverse avenues for theoretical advancements and empirical validation in understanding the cosmos's dark matter component.